Common words:
* data
* strata
* sonata
* automata
* partita
* aorta
* quota
* pasta
* vista
* tenta
* manta
Less common words:
* siesta
* vendetta
* dicta
* feta
* zeta
* aorta
Words from other languages:
* pita (Greek bread)
* junta (Spanish for "a group of people who rule a country")
* sarta (Hindi for "string")
Words that are not actual words:
* bloota
* goota
* shoota
This is just a starting point. There are many other words that end in "ta," depending on what kind of words you are looking for!