Whle he (& Jake) were outstanding in Brokeback Mountain..I have a soft spot for Ten Things I Hate About You (first Heath film I ever saw) and Casanova. More lighter maybe but enjoyable films.
The scene where he pays the band to play and is singing in Ten Things and then starts running along the stands to escape the security guards is still funny many viewings later.
I wish I'd seen more of his films while he was here, but I appreciate that he avoided being typecast and went for roles he felt would challenge him.
Looking forward to Batman this summer.