Could get very interessting ...
So if you allready start with WH40k and end with it (and I ave to say most hobbyists don't know when the God Emperor was born...), you could add the years in M41 from DoW 1/2.
X-BtF/Tension, X2, X3/X3-Reunion
Assassins Creed 1/2/Brotherhood
Earth 2150 (though they totally screw our planet in that one (it being burned completely))
Shadowrun (Yeah I know it's a Pen n Paper but WH40K is a tabletop so ...)
Several Resident Evil games (quite amazing how often the human populations was wiped out/turned into/eaten by zombies)
The only dates I know from my head from all those games are those of the Earth series (thats not hard to remember)
Prototype: you should know
Assassins Creed: Everyone knows
Earth 2140: haven't had a chance to play it yet
Earth 2150: The Earth is thrown out of its path around the sun and now descends into the afore mentioned. Three superpowers which had divided the world wage total war trying to build spaceships. They escape from earth directly/indirectly to Mars (indirectly over the moon) where 2160 plays.
Earth 2160: The superpower try to gain controll over ressources and still wage war until the descend of an alien races (which is extremely powerful), they discover a "paradise" on a far away planet and try to get there.
Resident Evil .... no one doesn't know what happens there
Shadowrun: 200x (forgot the exact year) magic returns to the earth mutating a vast part of the population into demihumans (elfs, trolls, orcs and dwarves) and reawakens magic creatures most powerful of which are the dragons which soon have leading positions in the earth controlling Triple A conglomerates.
#In the grim dark future of
WH40K M41: THERE'S ONLY WAR!
Freelancer: Earth wages war against Mars, Mars is winning, Earth starts 5 gigantic Hibernationships towards Sirius. 800 years later thats when the story of Freelancer plays.
X-Beyond the Frontier ... your some kinda spacepilot testing the first experimental hyperdrive in an experimental ship. The whole thing jumps a bit to far and you land in an area of space that has once been colonized by the humans but then abandoned due to them not being able to win the war against their creations the fully automatic Terraformers now calling themselves Xenon... something like that.
Impossible Creatures: late 19th early 20th century some bloke find s the laoratory of his old man who was f§$%ing around with genetic manipulation and creates crossbreeds. He is attacked by a Tigermantis (tiger+mantis), being saved and then wages war against some evil dudes using that tech to wage real wars/make money. Been ages since I played it, not sure how accurate this all is (100% of all the above written stuff is from memory...)
Keyboard apologizes for any grave grammatical and/or typographical mistake.