I'm trying to keep a complete of a list as I can, since I love totally useless information like this... =)

ASCAP Award
Top Box Office Film Category-WON

Academy Awards
Best Art Direction-Set Decoration-WON
Best Cinematography-WON
Best Costume Design-WON
Best Director-WON
Best Effects, Sound Effects Editing-WON
Best Effects, Visual Effects-WON
Best Film Editing-WON
Best Music, Original Dramatic Score-WON
Best Music, Song (For My Heart Will Go On)-WON
Best Sound-WON
Best Picture-WON
Best Actress(Kate Winslet)-NOMINATED
Best Makeup-NOMINATED
Best Supporting Actress(Gloria Stuart)-NOMINATED

American Cinema Editors
Eddie Award-NOMINATED

American Society of Cinematographers
ASC Award-WON

Blockbuster Entertainment Awards
Favorite Actress, Drama(Kate Winslet)-WON
Favorite Actor, Drama(Leonardo DiCaprio)-WON
Favorite Supporting Actor, Drama(Billy Zane)-WON
Favorite Supporting Actress,Drama(Kathy Bates)-WON

Bogey Awards, Germany
WON...Not sure what award, but it won!

Broadcast Film Critics Association Awards
BFCA Award-Best Director-WON
BFCA Award-Best Picture-NOMINATED