This game is called River City Ransom in the US. 
Well, I played both versions of River City Ransom, and yes, there are some differences between them. But if I recall correctly, the modifications were purely cosmetic.Originally posted by cluthu
Actually, I'm wondering if the English versions of RCR weren't modified slightly. For the life of me I don't remember Alex or Ryan having the sort of outfit pictured in the first picture you posted.