So what media are you using? Post the media ID codes. Also, what is the Thomson model #? Please give some more info, otherwise we can only guess. It can really be alot of things. A poorly burned disc may play in some players but not others because some players are more tolerant of errors or mistakes. Media type makes a big diference player to player. A player may have trouble reading from the disc because of the dye layer it uses, while other players coast right thru it.
It sounds like its going to be a media issue you have. That is the most common reason for discs to play in some players but not others. PC drives usually don't have a problem reading discs because of the nature of how their designed. I know you stated Verbatims (which are generally good discs) but we really need the media code.
DVD Identifier, DVD Decrypter &
Nero Tools can all give you the media ID code.