Here is the full list of all 37 UFC Undisputed 2010 trophies - there are 20 bronze, 12 silver, 4 gold and 1 platinum.
Congratulations!
Win a fight by Flash KO against a CPU opponent.
Win 100 Online Ranked Matches
Win 75 Online Ranked Matches
Win 50 Online Ranked Matches
Online Exhibition - Obtain all types of gold medals
Win 25 Online Ranked Matches
Win 10 Online Exhibition Ranked matches consecutively
Win 10 Online Exhibition matches in total
Win an Online Exhibition Ranked match
Complete the Title Defense Mode
Win a fight by Submission against a non-CAF, Expert CPU in the first 60 seconds of Round 1.
Complete the Career Mode
Compete in a Champion vs. Champion fight and also make the UFC Hall of Fame in Career Mode
Win a Champion vs. Champion fight in Career Mode
Complete all A, B, and C class challenges (Red and Blue Corner) in a fight in Ultimate Fights Mode.
Win by all methods of stoppage against the CPU. (KO, TKO, Submission, Doctor Stoppage)
Is there a doctor in the stadium!?
Win a fight with a Submission Transition
Act as a trainer in Online Camp Training
Win a fight by KO/TKO against a non-CAF, Expert CPU in the first 60 seconds of Round 1.
Go through all tutorials
Now you're dirty boxing with Pride!
Win a fight against the CPU with a fighter you've created in Create A Fighter
Dodge 3 consecutive strikes via sway (Outside of Tutorial Mode)
Touch gloves at the beginning of 10 matches.
No respect for your opponent.
Collect all Topps® UFC trading cards
Play all modes at least once, check the shop and all options
Experience an entire 8 fight event card in Event Mode.
Join an Online Camp
Complete a post-fight interview in Career Mode
Reach "World Class" (Level 3) status with a technique or move.
Download an Event for Event Mode
Win at least one championship in the Tournament Mode
Complete the Title Mode
Create a fighter in Create A Fighter