Item description:

This is my first submission for this community. As I play the game I will add few more trophies to this save. I will update this post when this happens. Have a nice day. GTXMike.

Go to Single Player -> Single Fight
Choose Batman vs Bane on Very Easy
Choose stage -> Wayne Manor Night
While fighting Bane do two (2) transitions on this stage: Right -> Left
Defeat Bane.

Trophies Unlocked:

Around The World
Arkham City Lockdown

Go to Single Player -> Single Fight
Choose Bane vs ANYONE on Very Easy
Choose stage -> Batcave (Lagoon)
Use transition on the Left Side of the stage (Lift/Elevator) to perform 14 hit combo.

Trophies Unlocked:

Heavy Hitter

I got another save for you BUT I don't know if it will work as I haven't tested it yet. I was boosting RANKED MATCH with my friend and I made this save with 9 wins. So hopefully all you need to do is re-sign save and win one RANKED MATCH to obtain 1-3 trophies (If you haven't played online at all).

Trophies Unlocked:

Beginner's Luck!
Lucky Break
Holy Knockout Batman!