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 [2] The Cow
- Al-An'am [6] The grazing livestock: (i.e. Camels, cattle, sheep and goats)
- An-Nahl [16] The Bee
- An-Naml [27] The Ants
- Al-'Ankaboot [29] The Spider
- Al-'Aadiayaat [100] The racers* (it means the horses)
- Al-Feel [105] The Elephant