I don't know if it's correct to say the surah is named after an animal, for example, surah al-baqarah (the cow) is not named after a cow, but rather the story of Musa and bani isra'eel described in verses 67-73.Maybe its better to say which surah's have an animal name in them.
- Al-baqarah  The Cow
- Al-An'am  The grazing livestock: (i.e. Camels, cattle, sheep and goats)
- An-Nahl  The Bee
- An-Naml  The Ants
- Al-'Ankaboot  The Spider
- Al-'Aadiayaat  The racers* (it means the horses)
- Al-Feel  The Elephant