Rivalry trophies - Win as either team of the rivalry to unlock the corresponding trophy:

Apple Cup: University of Washington Huskies vs. Washington State University Cougars
Battle Of I-25 Trophy: New Mexico vs. New Mexico State
Bayou Bucket: Houston Cougars vs. Rice Owls
Beehive Boot: Utah vs. Brigham Young vs. Utah State vs. Weber State
Bronze Boot: Colorado State University vs. University of Wyoming
Commander in Chief: Army vs. Navy vs. Air Force
Commonwealth Cup: University of Virginia Cavaliers vs. Virginia Tech Hokies
Cy-Hawk Trophy: Iowa Hawkeyes vs. Iowa State Cyclones
Floyd Of Rosedale: University of Minnesota Gophers vs. Iowa Hawkeyes
Fremont Cannon: Nevada Wolf Pack vs. UNLV Rebels
Golden Boot: University of Arkansas Razorbacks vs. LSU Tigers
Golden Egg Trophy: Ole Miss Rebels vs. Mississippi State
Golden Hat: Texas Longhorns vs. Oklahoma Sooners
Governor's Cup: Kansas State vs. University of Kansas; University of Kentucky vs. University of Louisville; or Florida State University vs. University of Florida
Governor's Cup: Brown University vs. University of Rhode Island; or Georgia Tech vs. University of Georgia
Governor's Victory Bell: Minnesota vs. Penn State
Illibuck: Ohio State Buckeyes vs. Illinois Fighting Illini
Ireland Trophy: Boston College vs. Notre Dame
Iron Skillet: South Methodist University Mustangs vs. Texas Christian University Horned Frogs
Jeweled Shillelagh: Purdue vs. Nortre Dame
Keg of Nails: Cincinnati Bearcats vs. Louisville Cardinals
Land Grant Trophy: Penn State vs. Michigan State
Little Brown Jug: Minnesota vs. University of Michigan
Marching Drum: Kansas vs. Missouri
Megaphone: Notre Dame vs. Michigan State
Missouri-Nebraska Bell: Missouri vs. Nebraska
ODK - FOY Sportsmanship Trophy: Alabama vs. Auburn
Old Oaken Bucket: Indiana vs. Purdue
Paul Buyan Trophy: Michigan vs. Michigan State
Paul Buyan's Axe: Minnesota vs. Wisconsin
Peace Pipe: Bowling Green vs. Toledo
Purdue Cannon: Purdue vs. Illinois
Seminole War Canoe: Florida vs. Miami
Shellelagh Trophy: Nortre Dame vs. Purdue
Silver Spade: New Mexico State vs. UTEP
Stanford Axe: Cal vs. Stanford
Telephone Trophy: Iowa State vs. Missouri
Territorial Cup: Arizona vs. Arizona State
Textile Bowl Trophy: Clemson vs. NC State
Tiger Rag: LSU vs. Tulane
Victory Bell: Miami University Red Hawks vs. Cincinati Bearcats
Victory Bell: UCLA vs. USC
Victory Bell: Missouri Tigers vs. Nebraska Cornhuskers
Wagon Wheel: Akron vs. Kent State
Williams Trophy: Rice vs. Tulsa

Easy "Fill The Trophy Case" trophy - Play or simulate Dynasty mode until the postseason. When you get to Week 1 of the Bowl season, play and win each bowl game with any team. These will count towards your profile. When you finish every Bowl (including the National Championship), you will get the "Fill The Trophy Case" trophy.

Trophies - Successfully complete one of the following tasks to get a trophy:

Hear the Pin Drop (Bronze): As the away team, get into the endzone in the first 30 seconds of the game.
Trifecta (Bronze): Score a receiving, rushing, and passing touchdown with one player.
Pick-Free (Bronze): Do not throw any interceptions in an Exhibition or Dynasty Mode game.
Taking Care of Business (Bronze): Win an Exhibition or Dynasty Mode game by 21 points or more.
Bombs Away (Bronze): Complete a pass for 50 or more yards in an Exhibition or Dynasty Mode game.
Bustin' Loose (Bronze): Break a run for 49 or more yards in an Exhibition or Dynasty Mode game.
Big Time Player (Bronze): Be the hero and win a game by taking the lead as time expires.
Ball...Ball...Ball... (Bronze): Jar the ball loose with a User-Controlled Hit Stick tackle.
Will You Ever Learn? (Bronze): Intercept 2 passes in an Exhibition or Dynasty Mode game.
Getting In On The Fun (Bronze): Take an interception back to the house in an Exhibition or Dynasty Mode game.
Helping Your Own Cause (Bronze): Scoop a fumble on defense and take it to the house in an Exhibition or Dynasty Mode game.
Put Two On The Board (Bronze): Force a safety in Exhibition or Dynasty Mode.
Protecting The House (Bronze): Pitch a shutout by holding your opponent to zero points. Valid only in Exhibition or Dynasty Mode.
You Got A Reciept For That? (Bronze): Take a punt or kickoff back to the house for a touchdown. Valid only in Exhibition or Dynasty Mode.
You Gotta See This (Bronze): Upload a Video or Photo Highlight.
I'll Take My Trophy Please (Bronze): Play and win a conference championship game in single team Dynasty Mode or Road to Glory Mode.
Closing Out Strong (Bronze): Play and win a bowl game in single team Dynasty Mode or Road to Glory Mode.
Sip Some Texas Tea (Bronze): Develop a new pipeline state in single team Dyansty Mode.
Mr. February (Bronze): Have the #1 ranked recruiting class in a season in single team Dynasty Mode.
Running With The Ones (Bronze): Become the Starter in Road to Glory Mode.
Big Fish In A Small Pond (Bronze): Become a 5-star Road to Glory prospect.
4th Quarter Comeback (Bronze): Win an Exhib. or Dynasty Mode game when down by 14 to start the 4th quarter (min difficulty: Varsity)
Red Zone Perfection (Bronze): Complete an Exhibition or Dynasty Mode game with a Red Zone Efficiency rating of 100%
Red Zone Shutout (Bronze): Complete an Exhibition or Dynasty Mode game without allowing a Touchdown from the Red Zone.
Reach out and Crush Someone (Bronze): Join or Host an Online Dynasty.
One for the History Books (Bronze): Play a game that gets designated as an ESPN Instant Classic.
Locked and Loaded (Bronze): With Player Lock on, return an interception for a TD.
We Are Family (Bronze): Win a game using only Family Play Controls in an Exhibition Mode game.
Set 'Em Up, Knock 'Em Down (Bronze): Score a TD when running a play that is 100% setup.
Give Him 5 Minutes (Bronze): Chew up the last 5 minutes of a game on a single drive to preserve the win.
Good Sport Award (Bronze): Achieve a Sportsmanship Level of 10 in the Season Showdown competition.
Mad Skillz (Bronze): Achieve a Skill Level of 10 in the Season Showdown competition.
Strategery (Bronze): Achieve a Strategy Level of 10 in the Season Showdown competition.
Crash the Party (Bronze): Earn an invite to a BCS game in Dynasty Mode with a team from a non-BCS conference.
What Competition? (Bronze): Win the 1st year SEC championship with a team moved from the Sun Belt in single team Dynasty Mode.
Big Man on Campus (Bronze): In Road to Glory Mode, earn a spot on your team's All-Time leaderboard.
Freshman Phenom (Bronze): Win the Heisman Memorial Trophy® with a Freshman in Road to Glory or Dynasty Mode.
Keep Them Guessing (Bronze): Gain 200 rushing yards and 200 passing yards in the same game.
On Lockdown (Silver): Hold the opposition to under 100 total yards in an Exhibition or Dynasty Mode game.
Can You Believe It? (Silver): Return a missed field goal for a touchdown. Only valid in Exhibition or Dynasty Mode.
I'm Outstanding (Silver): Win the Heisman Memorial Trophy® in single team Dynasty Mode or Road to Glory Mode.
National Champions! (Silver): Play and win the BCS National Championship game in single team Dynasty Mode or Road to Glory Mode.
Russell High School Champ (Silver): Play and win the Russell High School Championship Game in any state.
King of the Conference (Silver): In Road to Glory Mode, earn a spot on your conference's All-Time leaderboard.
Fill The Trophy Case (Gold): Win all 34 bowl trophies (including National Championship) in Dynasty or Road to Glory modes.
That's How I Roll (Gold): Achieve an Overall Level of 10 in the Season Showdown competition.
The Best of All-Time (Gold): In Road to Glory Mode, earn a spot on the NCAA All-Time leaderboard.
Platinum Trophy (Platinum): Unlock every trophy.