The first The Crew and Need for Speed: Most Wanted (the Criterion one) do have a number of similar elements, none really are exactly the same. Although I guess the latter actually is last gen, it is on PC and is Criterion. (Hot Pursuit also from Criteron and also on PC but last gen otherwise might fit.) Don't know about the newest NFS actually.
I think a lot of the most similar games burned out in the 360 era, Midnight Club/Underground/etc. all kinda died off during then, except as side mores here and there. Until The Crew came along. Off the top of my head it's probably the best bet, often is cheap. Second game adds planes and boats.