There is a map. You have to pull from the left of the screen to show it (from the right brings up Action Replay). Problem is those controls aren't shown from the main menu. While in a race, pause the game and hit the '?' for that explanation, along with some other things it would've been handy to know beforehand (like repairing and recovering). Unlike the original though, you can't continue playing while the map's up; the original put a little moveable window that showed a shrunken view of the action. That might be due to not all control schemes allowing, I don't know.
The 'spinny camera' is something you just sort of get used to. I feel it adds to the tension of when you get turned around during a scrap so you're not sure if someone's going to come smash into while you're trying to reorient yourself, but I can see how it might be annoying for general racing.
As I said before, the AI does seem a little more aggressive/suicidal than in the original (and your own car a little tougher). Before, you'd have the smaller, weaker cars more focused on actually racing and it was only when you attacked them that they might start fighting back. When police along with huge dump trucks/SUVs/jeeps start showing up, that's when things get a little tougher. I know the sequel made it more apparent with an aggression level indicator or something, and it worked a bit better there.
Overall though, I find it a good port. It captures a lot of the essence of the old game and they've ever so slightly tweaked the controls to make it a little easier to steer (it's still very physics-governed rather than arcadey though).