Some names to consider...
forwards
Alfredsson, Daniel
Apps, Syl
Armstrong, George
Beliveau, Jean
Bossy, Mike
Bouchard, Emile
Cashman, Wayne
Clarke, Bobby
Cook, Bill
Cournoyer, Yvan
Crosby, Sidney
Delvecchio, Alex
Doan, Shane
Gainey, Bob
Gilbert, Rod
Iginla, Jerome
Joliat, Aurel
Kennedy, Ted
Koivu, Saku
Lecavalier, Vincent
Lemieux, Mario
Mikita, Stan
Modano, Mike
Nystrom, Bob
O'Reilly, Terry
Perreault, Gil
Provost, Claude
Ramsay, Craig
Richard, Henri
Richard, Maurice
Sakic, Joe
Schmidt, Milt
Smyl, Stan
Smyth, Ryan
Spezza, Jason
Steen, Thomas
Taylor, Dave
Yzerman, Steve
defensemen
Clapper, Dit
Daneyko, Ken
Lidstrom, Nicklas
Murray, Bob
Phaneuf, Dion
Potvin, Denis
goalies
Brodeur, Martin
Dryden, Ken
Lundqvist, Henrik
Miller, Ryan
Richter, Mike
Tretiak, Vladislav ?
...maybe pnep can chime in with a complete list of players who have played 10+ years in the NHL and spent their entire career with one franchise.