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When I was younger I used to play games from the Need For Speed series, they are not too hard and are always decent in terms of graphics and gameplay, but the main hook for younguns is the freeroaming and cop chases. So, the newest one (Need For Speed Undercover) is probably your best option, but I've never played that particular one so don't trust my advice too much.
I would also recommend GRID as its the best racer on the 360 in my opinion, and I can't imagine it being too hard on the easy difficulty setting.