Games I'D consider classics or games I'd have to look at on terms of how good they were for everyone in general kinds of classics?
Because if it's just what I think as an individual:
The first [PROTOTYPE] game (Mercer is Bae, also shapeshifting, still never forgiving what [PROTOTYPE2] and its comics did to his character)
The first two inFAMOUS games (Cole is also Bae, also lightning>"lol i get all powers")
Sleeping Dogs (Wei is Bae, kung fu fighting>"KAAZEEN LETS GO BOWLING")
Alpha Protocol (Michael is also Bae, basically Mass Effect if it was The Bourne Conspiracy and Bourne/Shepard punched with the strength of a horse's kick)
Fallout series (War is Bae, the 60s style appeals to me a lot)
Elder Scrolls series (No one is Bae, I didn't have an amulet of Mara but I think even despite each of the games having their shortcomings, the entire series was quite a ride)
Mass Effect series (Shepard is Bae (both of them), I have mixed thoughts about Andromeda so I'm not including that)
Dragon Age: Origins (Though I loved a lot about the character interaction with two, a lot of the other aspects just won't hold up, but Hawke is still Bae)
Pillars of Eternity (Obsidian is Bae, I actually want to try more RPGs in this style because of this game)
LISA series (Depressing, Painful, Joyful, it's one big emotional roller coaster...what you thought there was anyone in this series that you would want to be anywhere near?)
Undertale (Sans is Bae, mercy never felt so good)
Witcher series (Geralt is Bae, a bit rough around the edges in each installment but its a fun Dark Fantasy regardless)
Metal Gear 4, 5 and Rising (FOX is Bae, yeah 4 could basically have been made a huge movie, yeah 5 could have a lot better of a plot twist at the end or in fact not had one at all, yeah Rising hammed it up sometimes but you know what? I loved all 3 of these games, plot and all)
JoJo's Bizzare Adventure: Eyes of Heaven (Don't care if it's a bit clunky, we can play as Speedwagon and now there's a new Dio, this game already wins, All of JoJo is Bae)
Souls Series + Bloodborne (Undead is Bae, atmospheric and challenging games even when they might have some small pet peeves that might put you off)
Games I'd think everyone would declare classic in general:
None, there's a type of game that everyone likes and your classic could just as easily be my next toilet paper substitute.
Also if you now have cancer because I used the word Bae.....good.