This question is irrelevant, it cannot reveal a full picture. If you consider that in 1999 and 2008 Manchester United won both the Premier League and Champions League. That would mean that there are more than 8 players who have won both.
The Liverpool team.
basically all of Liverpool FC
Ryan Giggs, Paul scholes, and Christiano Ronaldo have won both The champion league and the Premier league.
hyypia, Carragher,Gerrard, Finnan etc. Liverpool players... /Qamyar
Kanu is one!
the players that won the champions league againts milan with Liverpool, I suppose Gerrard, Alonso, Carragher and the ones that still play in Liverpool well Alonso not anymore, sell out.
David Villa, Iniesta, etc
Ronaldo, Giggs, Scholes Evra, Vidic, Rio Ferdinand.