NCAA Ultimate Team Fanatic - This one is pretty simple but I wanted to elaborate. You need to play 20 games. If you play versus a human you do not need to finish the game. However, if you play against a CPU in challenge mode you need to finish the game in order for it to count. You also must win vs. CPU, where as you can lose against a human player and it will count.
The two quickest ways to unlock this trophy are...
1) Join a head to head game and quit out a minute in.
2) Play the CPU challenge against either the Sun Belt conference or MAC conference. (These matches are on freshman difficulty and only are 2 minute quarters.)
If you have all the other UT trophies and this is your last one (happened to me due to boosting) #1 is the best option. If not #2 may be the better option (despite taking longer) as you gain 500-600 coins per win (without repeating there are 4 super easy and 3-4 easy-mid difficulty matches, so around 5k coins) which can be used towards most other UT trophies.
If you are boosting Top of the Class after playing a few games or you are the person who goes second in boosting session this trophy will likely unlock by the time you unlock that trophy. See that guide for more information