I had a PS1 when i was young, where i played a awesome rally-racing game but also taking place on real race tracks like the one in Japan... I liked that game allot. Another game i liked was the James Bond game, where you could drive his car with missiles
I also enjoyed the game, where you were driving vehicles in a DM mode, where you had to kill other vehicles. I think its called "Black Metal" or something.
On the PS2 i played the Need For Speed series like Underground and Carbon. I really enjoyed NFS Carbon. The most dissapointing game was NFS Pro Street. Since that game Need For Speed was dying.
On the Original Xbox i used to play the Halo Series with a friend. But also some awesome Star Wars games, where you could fight eachother in those war machines :p Im not a huge star wars fan lel :p
On PC i liked the DF-series. The times where X-fire was a thing and permanent private servers like SAMP was the thing. Also i played a lot of Call of Duty and SAMP
Also i played allot of Battlefield like BF2 and BFV.