As already stated, standard dvd player is a item that is usually kept in the same place like in your living room, as the compact version goes it is generally made to be portable. To take with you as you travel. Other actual differences may include manufacture designs, configurations, and options...most dvd players give you multiple video options, your best bet would be to visit a store and see what is currently offered, or you can also look on web sites like Amazon and eBay.
A regular DVD player you play movies on your Television and a compact you take with you.Call and ask Best Buy if the compact player shows as full screen or in wide screen.
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