Class 1-A students and their Quirks/Bending abilities: 

Izuku Midoriya:

quirk: One for All

The Avatar

Momo Yaoyorozu/Midoriya:

quirk: Creation

Firebending

Katsuki Bakugou:

Firebender/Combustion Bender

Shoto Todoroki:

Quirk: Cryokinesis

Firebending

Denki Kaminari

Quirk: Electrokinesis

Lightning Bender/Firebender

Asui Tsuyu

Quirk: Frog

Waterbender

Hitoshi Aizawa

Quirk: Brainwashing

Waterbender/Chi Blocker

Yuga Aoyama:

Waterbender

Mina Ashido: 

Quirk Acid

Tenya Iida: 

Quirk: Engine

Kyoka Jirou:

Quirk: Earphone jack

Earthbender

Toru Hagakure:

Quirk: Invisibility

Airbender

Ochako Uraraka

Airbender

Fumikage Tokoyami:

Quirk: Dark Shadow

Camie Utsushimi: 

Quirk: Perfect Hypnosis

Eijirou Kirishima:

Earthbender/Lava Bender

Ojirou Mashirao

Quirk: Tail

Earthbender

Hanta Sero: 

Waterbender

Mezou Shouji

Quirk: Dupliarm

Firebender

Inasa Yaorashi:

Airbender