1) Fran Bow
2) Doom 2 (although other answers are applicable, such as RoTT)
3) Dream Machine
4) DoTT (Day of the Tentacle, although any other will do, such as WarCraft)
5) European Truck Simulator
6) Jazz Jackrabbit
7) Batman: Arkham Asylum

EDIT: Ah, I see Dr_Adder said that first.

3) Mortal Kombat

Last hint and the first correct one wins Frostpunk: "Animus"

Assassin's Creed?

Gotta know the rest of the hint (their own dream - is that a Templar reference?) if that's the case and it is AC.

Assassin's Creed 3?

We have a winner. Get ready to receive Frostpunk, contact me in chat so I can give you the code.

LOL legit? I get to city build a bunch of little guys while sending them out on bobsleds and whatnot to freeze and / or be eaten?

Yep - if you want, that is. No legal bindings :)