I was lucky to be able to play many consoles from my brother, so it's kind of hard to pinpoint my favourite ones, it'd actually be easier to point the games.
PS2, PS3 and the DS would be my spotlights probably, I also did play with the PSone quite a bit but the former 3 probably rake up most of the time played.
Some games I could mention would be WRC and Hogs at War on PSone, NFS Underground 2 and Jak X on the PS2, for the PS3 definitely Motorstorm, along with GTA IV and the "classic" COD games and on the DS, Animal Crossing, Sonic Rush and Mario Kart DS.
By the time we got a PS3 I was around 8 years old, so I was pretty much one of the rats of the early days on in-game voice chats lol.
P.S. To this day I still love and want to play Motorstorm badly, unfortunately our PS3 died due to yellow light and I could play Apocalypse years after on PS Now, but I never got to play Pacific Rift and my PC nor the PS3 Emu are ready to emulate it. Fuck Sony for killing Evolution Studios and fuck codemasters for fucking up the devs with the release of Onrush.