i dont know if its the same in the US as it is in the UK but over here, most of the cheaper brands are multi region anyway, they just done advertise it. i bought one in 2002 for $150ish and it was multi region, my brother bought a sony one a year later for double the price and it only played region 2. a lot of the cheaper lesser well known brand dvd players will either be able to play milti region, or you can get a code from the internet that you put into one of the setup screens and that will make it multi region.
as ive said it works in the UK but not sure about US dvd players