Underground 1 and 2, and ProStreet don't have any pursuit modes.
NFS4 - High Stakes - player can be evader or cop. Physics are bizarre, but pace is fast.
NFS6 - Hot Pursuit 2 - Player can be evader or cop, 1/2 of the career mode is pursuits. Physics are annoying.
NFS9 - Most wanted - Player can be evader only. Physics are better than NFS4 or NFS6. Open areas for pursuits.
NFS10 - Carbon - Player can be evader only (except online). Physics similar to NFS9, except muscle cars have a lot of oversteer. Open areas for pursuits.
If you like pursuits, there are 4 NFS games that have it. From my experience, the physics doesn't need to be realistic for pursuit modes, and collisions pretty much need to be damage off before pursuits are "fun". I doubt LFS will ever have pursuit modes.