The very first game I ever played was Pokemon Yellow Version. First console game I personally owned (not counting the Sega/Nintendo games I played on family member's consoles) was Donald Duck Quack Attack on the Playstation, and first PC game was the original Sims followed by Zoo Tycoon. Would say I mostly stuck to Pokemon and The Sims back then, though I did get really into Mario Party and Harvest Moon later on in primary school.
As for my favorite game now... I've never actually thought about it! I feel like I play so many different genres and get such a wide variety of enjoyable experiences that it's hard to pinpoint just one. If I considered games in recent years, I might say Zelda: BotW.
Once I finish my degree and have a proper job/home I'd like to purchase all the consoles I felt I had missed out on when I was younger including a lot of games you mentioned. Yoshi's Island looks particularly interesting to me.