The list of sentient species in the universe is way too long to list them all. However, we can list all species that are relevant:

Antrean

Bothan

Cerean

Chiss

Droid

Duros

Gamorrean

Highmonian

Human

Hutt

Ineo

Ithorian

Kaminoan

Kel Dor

Khawchaxlk

Mon Calamari

Nautolan

Neimoidian

Opaali Theelin

Oual

Paaerduag

Quarren

Rakata

Rodian

Thalosii

Theelin

Togruta

Troig

Twi'lek

Zabrak

Zeltron