"Worst" seems like an impossibly broad criteria to ever approach. Worst games I've played for a significant amount of time maybe? Either way nothing coming to mind, I would have to think about it a lot more?
It isn't like I havent played lots of games that weren't fun, in fact my whole gaming career I've found the hobby far more full of misses than hits. I'm similar with music, I like maybe 1/10 songs. Probably a similar ratio with video games that I actually enjoy being few and far between. In fact until Destiny I'd probably put quite a small amount of time actually playing games vs time discussing them on internet message boards.
Best, hmm more intriguing. Best 3 is pretty narrow. Might look something like (no order):
Final Fantasy 1: NES-Maybe never had as much fun as this, got it over Christmas break and just mainlined it with my brother over the next ten days til completion. The last good FF game IMO. After this they became movies not games.
Destiny 1/2 -Probably played these 100X more than any other game by now. At times after all this time can be boring and tedious. However surely for the first weeks was a life changing experience. The D1 orbit music on YT almost bring tears to my eyes.
Streetfighter 2 (various incarnations) Life altering as well. I never knew a video game could be so deep or about skill. Graphics and animation somehow more amazing for that time than the sum of their parts. And the arcade scene was a big part of it.
I guess that seems like a safe list?
Honorable mentions: Half Life (PC), Unreal Tournament (PC), Gauntlet (Arcade/NES) Ms Pac Man (Arcade), Metal Gear 1 (NES), Halo CE (Xbox), Mickey Castle of Illusion (Genesis), Kings Bounty (Genesis) Avengers (Arcade), Link to the Past (SNES), Mario Bros (NES)