Everyone's going to expect us to say Marchand for Boston. Unpopular opinion but I think Marchand's reputation is overstated and largely stems from some incidents from early in his career, he's been playing clean for 3 years now, and pretty much all the disciplinary actions after about 2013 were reputation-driven and not assessed on their own merit.
I think Lucic was a more "dirty" player. by that I mean he crossed the line at times to where even I as a fan was like "alright man, cool it down." But I loved that it came from a place of passion and competition, not malice.
Otherwise the players that opposing fanbases derided as being dirty thugs back when we were a physical team - Thornton and Chara mostly, were standup players and widely respected across the league, even with that Orpik incident and the Pacioretty accident that everyone went crazy about. Going back years before that, Kyle McLaren is pretty much only remembered for that flying elbow on Zednik in the playoffs. But I loved the physicality he brought even if he crossed the line (also, I was like 14 then so I didn't feel bothered by him throwing a cheapshot against our biggest rival).
Last guy on the team who I think was a total dirty tool? Probably McSorely.