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"And my vanquisher will read that book, seeking the weapon, and they will come to understand me, where I have been and where I was going."
The following is a verbatim transcription of an official document for archival reasons. As the original content is transcribed word-for-word, any possible discrepancies and/or errors are included.
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The Strikes subsection of the Grimoire covers subjects related to Strikes.

Strikes Introduction

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"There are threats that must be faced with unfettered aggression. Are you ready?"
— Commander Zavala

Our enemies hide among our lost worlds, plotting to ensure our extinction. But the Vanguard keeps a vigilant watch on places where the creatures of the Darkness grow strongest, and seeks Guardians bold enough to join forces to face them.

Dust Palace

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"The Dust Palace is lost to us again. Back in Cabal hands. Word is they've let Psion Flayers out of their cages, to dig around in the Central AI's Cortex. Which means they really want what's buried in there. If Rasputin was protecting it, it's valuable. We've got to flush those Flayers out."
— Cayde-6

The Summoning Pits

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"Something dark stirs in the depths of the Hellmouth. We can feel it. A Hive abomination bred for unthinkable evil. We must pierce the veil of their Summoning Pits and destroy this creature...before the Hive unleash it upon us all."
— Ikora Rey

The Nexus

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"Far below the Ishtar Academy, the Vex have set something in motion, a world-eating machine transforming Venus into another link in their intergalactic chain. This Nexus must be stopped and the Mind that controls it, destroyed."
— Ikora Rey

Devils' Lair

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"The Fallen will continue to claw at the walls of our City, unless we strike them down. Beneath the ruins of the Cosmodrome, in the shadow of an old colony ship, we've located the House of Devils' Lair - and the High Servitor feeding them their strength. We must destroy this machine god...and send their souls screaming back to hell."
— Commander Zavala

Cerberus Vae III

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"Whether we wanted it or not, we've stepped into a war with the Cabal on Mars. So let's get to taking out their command, one by one. Valus Ta'aurc. From what I can gather he commands the Siege Dancers from an Imperial Land Tank outside of Rubicon. He's well protected, but with the right team, we can punch through those defenses, take this beast out, and break their grip on Freehold."
— Commander Zavala

Winter's Run

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"Those Fallen in the Ishtar Sink on Venus...story is they raided the Prison of Elders in the Reef. Got an Archon Priest. The Queen's bounty is high so we know it's powerful. We need to hunt this thing down before they fully restore its soul."
— Cayde-6

Weekly Strike Challenges Introduction

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Our enemies thrive among the Darkness, and where it gathers the Light will face great challenges. Expect to face the enemy's elite under shifting, dangerous conditions.

Will of Crota

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"Omnigul is the last of Crota's generals. She is the architect of her master's wakening. She'll spawn countless armies to feed his will. As long as she lives... the threat of Crota's return will always haunt this world. Track her down, and exterminate every Hive that stands in your way."
— Eris Morn

The Undying Mind

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"The Black Garden may not stay among us for long. Something has begun to repair the schism torn by its destruction. Vex now flood the Garden channels to protect it. We must stop the weavers before they seal the Garden and begin to summon back its heart."
— Ikora Rey

The Shadow Thief

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"The Wolves have sent a mercenary to Luna. Taniks, the Scarred. He would steal from the Hive all they know. Would align the Fallen with the shadows. You will stop him... but he will rejoice in your interference. Embraces conflict does Taniks. Revels in the trophies he collects from all he defeats. End his games."
— Variks, the Loyal

Fallen S.A.B.E.R.

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"We've picked up a high-gain transmission. Origin point is somewhere along the coast, near the Cosmodrome... Get in there, assess the threat, and aid Rasputin. A threat to the Warmind is a threat to the City as well."
— Commander Zavala

The Sunless Cell

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"Some creatures of the Hive strain against the Will of Oryx. Alak-Hul the Darkblade is one such. Long ago he fomented rebellion against the King, and attempted to take his mantle. Alak-Hul failed, and now awaits the 'mercy' of the Hive. Given the chance, the Darkblade will step in to take Oryx's crown. We must not allow another Prince to rise."
— Eris Morn

Shield Brothers

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"Funny story for you. Remember that Centurion Oryx 'took' right after you landed on the Dreadaught? Then the Centurion and that Taken Ogre tried to stop you from killing the King? Heh. Didn't work. So the Centurion's bond-brothers are pretty angry they lost their commander. They're leading a team to blow the Dreadnaught's core. The core goes, and most of the system goes with it. You're gonna make sure that doesn't happen."
— Cayde-6

Echo Chamber

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"The Vex still mourn the loss of the Nexus Mind. But for the Vex, time is relative. In one moment, a construct is lost. In the next, it is reborn. When a powerful part of the network is lost, the Restorative Mind is summoned. It has begun creating a bridge through time. A bridge that, if it is not destroyed, will see the Nexus Mind reborn."
— Ikora Rey

Blighted Chalice

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"The Taken King is dead. Yet still his armies writhe and claw at our worlds. Even as you led the assault on the Dreadnaught, a powerful Taken warbeast fled for the safety of the Shrine to Oryx. The would-be Prince Malok works to perfect a dark sorcery. He must be destroyed."
— Eris Morn

The Wretched Eye

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"The Splicers' High Priest has crews pushing further underground in the Plaguelands. Looks like a large-scale mobilization against a Hive nest."
"An army of Hive controlled by the Splicers would be the end of Old Russia."
"Could be the end of everything. The Devils are evolving. Neutralize them before this goes any further, Guardian.
Shiro-4 and Ghost

Sepiks Perfected

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"The House of Devils marked you as Public Enemy Number One after you trashed their Prime Servitor, but—Your old friend, Sepiks Prime, is back, and apparently better than ever, thanks to the Devil Splicers and SIVA."

The Abomination Heist

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"You'd think the fact you took out their High Priest would slow the Splicers down. No such luck.
"I'm tracking reports of Fallen Splicers spotted in and around the Hellmouth. Intel suggests they're hunting Ogres. Get down there and make sure they don't snatch up any more fodder for their twisted experiments."

Vanguard Elite

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"Our foes of late have been myriad. Each had decided by instinct or willful intent that humanity's time was over.
"We disagreed; none of us more vehemently than you. What you and your allies have done for this system cannot be measured in worth. And I would call on your Light again, to lead Strike missions across every world. Set some records—serve as inspiration for the new Guardians who join us every day and give them a pinnacle to reach for. The Vanguard is watching.
Commander Zavala

The Will of Crota: Revisited

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"Remember Omnigul? Hive general with the lovely voice? She's back."

"Vanguard scouts report she's undone her death."

"' 'Undone her death?' You make it sound like she pulled her knitting apart."

"Eris would tell you not to make light of this."

"That's why she's not here."

"There's no telling what else might follow, Guardian. Destroy Omnigul and any lingering threats." Cayde-6 and Ikora Rey

The Shadow Thief: Revisited

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"Variks has brought unsettling news. The Devil Splicers have used SIVA to resurrect an old foe: Taniks the Scarred has become Taniks Perfected."

"Taniks's crew has joined the Splicers. They're using SIVA to reanimate his body and overtake his territory. Lord Saladin says you were indispensable in Old Russia, Guardian. We thought you should be the one to handle this." Commander Zavala and Ikora Rey

The Nexus: Revisited

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"The Vex have restarted their world-eating machine in a bid to restore their Nexus. In time, Venus will be consumed—"

'"And listen to this! Scouts report that the Vex have upgraded the Nexus Mind with tech from the Vault of Glass."

"Do you need something, Cayde?"'

"No! Just here to support my favorite Guardian."

"I'm sure. Let's take that Nexus Mind apart." Ikora Rey and Cayde-6

Vanguard Daybreak Strikes

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"The Light flows through you, Guardian. Seize it. Feel its power. Unleash it on the minions of the Darkness. They will fall."
The Speaker

Face the enemy's elite with the full power of your Light. Expose them and leave them defenseless. Rejoice in the destruction.