No particular order, because it's already a pain to decide which would make the list:
Fire Emblem: Serenes Forest is a forum for Fire Emblem specifically, so its quite a no-brainer that it should be in all our lists, or at least on the honorable mentions.
Devil May Cry: Just... Dante. Also, don't play that thing that tells you it's a Devil May Cry game, it might have tons of references to DMC and it even dares to call itself DMC, but I'm quite certain it was a mistake of someone oblivious. The best one is the third one, specially the special (specialception!) edition, where you get to play as Virgil, so its worth.
Bioshock: You know that moment where your mind explodes out of awesomeness and WTFness? Well, Bioshock. And Bioshock Infinite solves all that could be wrong in the previous ones. Now let's just completely ignore that part where you impersonate a Big Daddy, and imagine that the world is a happy place.
Guilty Gear / BlazBlue: Guilty Gear is so nostalgic to me, and BlazBlue ties, because I just tend to draw many parallels in my mind between the two. They are also unique fighting games.
Kingdom Hearts: Final Fantasy x Disney, yeah, I know it sounds like the creators had a burning garden with exotic chemicals in it close by, but the plot of Kingdom Hearts (not the things that are completely unrelated that happen in the Disney worlds) is stupidly deep, confusing and overall mind-blowing.
Honorable mentions: Tales series, Souls series, Tekken, F-Zero, Disgaea, Xenoblade, Wild Arms, TLoZ, Smash, Ratchet, Monster Hunter, Etrian Odyssey, Kirby, Mega Man, Mega Man Zero, Mega Man Battle Network (Even though Lan is...), Castlevania, Metroid, many, many, many other franchises I'm too lazy or oblivious to type.
Standalone titles: The World Ends With You (my favourite ever, but it's sadly not a franchise, so...), Jump Ultimate Stars (Even though I couldn't find something that patched more than just the tutorial), Lufia II Rise of the Sinistrals (Sadly, I find this one to be a masterpiece, while the rest of the franchise is... not so masterpiece), inFAMOUS Second Son, Dofus (do MMORPGs count?), Sigma Harmonics, Soma Bringer, et cetera.