getting a cheap dvd player eh? well i would suggest getting one for the pc, cause then you can get a region cracker more easily, but enough said on that point... the fact is, if you want to get a cheapo stand-alone dvd player, go ahead, get one from the supermarket. Get it from a company like SQNY, or PANNASONICS, or for instance PIONEEER, and it's play dvd's oh yeah, just...
If you really want a stand alone, go to richer sounds, and get a pioneer, a sony, a JVC, or a pannasonic, though their spares cost a lot... i heard that other guy bought it from e-bay and renovated one... who was it, amgiamad?
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oh and i wouldn't be so sure about getting the multi region versions, cause sometimes dvd's have little pieces of code which go, test all regions, if player multi-region NOT PLAY :-D
it's also vice-versa with multi region dvd's, but players are less picky about those... i wonder what happens if you have a multi region dvd, with a multi region dvd player... anyway, you get muli-region dvd's from like hong-kong for example