This is going to sound odd but my favorite game, or whatever I have the best memory of is an old flash game that has disappeared from the itnernet, it was on all the little game websites. It was about a sort of derby race on an oval track and you controlled a wrecking ball trying to wreck them, it was amazing (and yes that gave me more joy than fallout 4 and the like XD) I think the title had wreck in it, sadly dont remember the full name :(
Mine has to be Super Smash Bros. Melee (or the series in general). So much hype. I've been around the competitive scene in locals since the game's early days and now it's bustling larger than ever. The new installments in the series bring so much hype, especially being a Fire Emblem die-hard fan. It's fun in all ways, but Melee by far has brought me some of the most competitive stimulation I've had in gaming.
My second favorite has to be Minecraft. There's so much to do, and so much to experience. It gets even better in private multiplayer with friends. Not only that, but the sandbox game is basically a sandbox game engine for plugin coders and mod creators. There's endless fun in this game, you just need to know where to look and think outside of the blocks.