Completely disagree with the picks. Any serious list should start off with these couple of names, no matter what (positioning is debatable):
Also, define 'tv poker players' please. Are we talking about any players that ever played in a televised game, are we talking about professionals, are we talking about players that made it X times in programs, etc.
If it's just whoever has participated in poker shows then your list can be completely scrapped and rearranged.
Rick Rahim, Bob Safai, Billy the Croc etc.