There are 12 Trophies that can be collected.

Bronze

A Gift Lure
Get a new lure in ARCADE MODE.

Arcade Winner
Clear ARCADE MODE.

Amateur Winner
Win First Place in the Amateur Tournament.

Challenge Winner
Win First Place in the Challenge Tournament.

Professional Winner
Win First Place in the Professional Tournament.

Ranker Killer
Catch over 30 Huge basses in ORIGINAL MODE.

Top Water King
Catch over 50 basses in ORIGINAL MODE by using Top Water lures.

Silver

Unbelievable Size
Catch a bass that weighs more than 20 lbs.

Lure Collector
Get the 14th and final Lure by placing 1st in all 5 Stages of the Professional Tournament.

Masters Classic Winner
Win First Place in the Masters Classic Tournament.

I love fishing
Catch a total of 500 basses.

Gold

Perfect Angler
Win all the stages in the Professional Tournament.

http://www.ps3trophies.com/forums/ps3-trophy-news/2844-sega-bass-fishing-trophy-list.html