Ridge Racer (piked with type 4), Need For Speed (piked with Carbon), Dirt Series (Piked with Dirt 3), Resident evil series (piked with 4, although I personally like Nemesis better), Grand Theft Auto Series (as amazing as V might be, is nowhere near as good or well design as San Andreas, or lacks the charm of Vice city).
I was about to mention the Ace Combat series, but I have played Infinity and it's go it's charm back (even though is based purely on old stuff, it work rather well, dare I say PS2 Ace combat game quality, you can't get better than that).
Special mention should be done to Silent Hill series, 2 at the top, followed by 4 and then 3, latest game have failed to archive that kind of psychological horror that plague the older games, Shattered Memories tried to recapture that psychological horror, but failed in the horror department, the rest are just ... dull and ... rather boring.
Other game series is Forza, although 5 and Horizon are amazing, none of them compare to the original Forza 1, in terms of features, content and actual design. FM5 is pretty good, so is horizon, but from 1 to 4 they really decline with a real low with FM3 (look forza 1 up for the original xbox and you will know what I'm talking about)
And finally TOCA, I like Grid 2, but TOCA 3 was the peak, and it was amazing, no games has ever come close (it had ****ing monster truck driving).