Like a lot of people here, modern games are too massive and can be acquired too easily. The backlog would be enormous, plus there is way too much content to cover. Most of my all-time favorites that I still play are classic games that can be finished in either one whole sitting at a maximum of one to two hours, or for ones with save files, a few sittings with a maximum of 6, at most. As much as I've enjoyed games like Final Fantasy 4, 6, and others over the years, they have only managed to get one complete playthrough for me at most. Even with games like FF7 and such, the idea that anyone ever completed these games on their own 20+ times is still mind boggling considering the 40+ hours it took for me to get through them the first time. Nowadays, that's considered short. If anything exceeds this criteria for playtime, it needs to go. Although, I would say, Super Mario RPG still gets the OK when it comes to somewhat long games, and is possibly my all-time favorite JRPG.
I did get a 2DS just for Animal Crossing: New Leaf and the Shinobi 3DS game, but nothing else as games haven't been a priority for me lately. New Leaf is my chillout game, and another exception to games that go on forever. The latter is part of a series I enjoy and very traditional action-arcade fare.
Also my interests shifted. I wanted more variety in intellectual and creative activities, like learning languages, reading literature, and playing music. But games also have their place in exercising my mind like these hobbies do. The development I've made in terms of my comprehension and dexterity has been helped out by both games and all these activities together to train my way of thinking. I've used Kanji Sonomama for DS obsessively and it has really helped me understand and learn the kanji, even being fun. In fact, most of my games lately have been educational software for Nintendo DS like Touch Dictionary or Mabeob Cheonjamun. The latter is a great example of how edutainment can be done right.
As for my favorites, I mostly play my Genesis with the EverDrive cartridge.