At the awards screen on the pause menu there are awards which are listed below in no particular order.

1) Superhero Accumulate 100K hero points
2) Mega Hero Accumulate 200K hero points
3) Big Game Hunter Defeat Rhino in story mode
4) Alien Buster Defeat Mysterio in story mode
5) Shock Absorber Defeat Shocker in story mode
6) Tentacle Wrangler Defeat Doc Ock in story mode
7) Towering Explorer All skyscraper tokens found
10) Watchful Explorer All secret tokens found
11) Vigilant Explorer All hideout tokens found
12) Drenched Explorer Collect all 130 Bouy Tokens
13) Knowledge Seeker Collect all 213 Hint Markers
14) Vigilant Explorer Collect all hideout tokens
15) Towering Explorer Collect all skyscraper tokens
16) Master Explorer Collect all exploration tokens
17) Alien Buster Defeat Mysterio
18) Shock Absorber Defeat Shocker
19) Big Game Hunter Defeat Rhino
20) Tentacle Wrangler Defeat Doc Ock
21) Friend to Children Return 25 balloons to children
22) Bane of Petty Thieves Stop 25 purse snatchers
23) Peace maker Prevent 25 gang wars
24) Thug Mugger Prevent 25 muggings
25) Watch Dog Foil 25 break-ins
26) Anger Manager Stop 25 road rages
27) Stick Up Artist Foil 25 robberies
28) Partycrasher Stop 25 battle royals
29) Lifter of Spirits Rescue 25 hanging citizens
30) Sucker Foil 25 ambushes
31) Automobile Avenger Stop 25 car jackings
32) Lifer Preserver Resolve 25 sinking boat crisises
33) Human Ambulance Resolve 25 medical emergencies
34) Honorary Deputy Assisted 25 officiers
35) Friend to Children Return 25 balloons to children
36) Avenger Stop 25 car jackings
37) Shutterbug Complete all Daily Bugle Missions (6)
38) Lover not a Fighter Complete all Mary Jane Missions (10)
39) Employee of the Month Complete all Pizza Missions (20)
40) Game Master Receive all other awards
41) Game Master Complete Everything in the game (100%)
42) hardcore gamer Complete all arcade games, with top scores
43) Master Explorer All exploration tokens found
44) Silver Medalist Beat all challenges
45) Gold Medalist Beat all challenges' mega times