He was voiced by the late Dom DeLuise.
An American Tail
An American Tail: Fievel Goes West
An American Tail: The Treasure Of Manhattan Island
An American Tail: The Mystery Of The Night Monster
Despite his formidable size Tiger is a harmless feline who despises violence and is actually very affectionate towards all living beings, even mice - he doesn't share the almost universal hatred of mice that many felines in the series did and indeed was willing to fight in defence of the downtrodden (though he was not much of a fighter, though he had his moments).
Tiger was once a member of Warren T Rat's gang but was clearly unhappy with his position, when he first met Fievel he attempted to act like a tough and mean cat but was unable to hold the act together long and he befriended Fievel: the two have remained close ever since.
Fievel and Tiger's friendship is an innocent one and is sadly very rare, which can cause mild problems as most mice are not used to having an affectionate feline in their midst: even Fievel's father noted that when Fievel grew older he may have to rethink having a cat as a friend - however given Tiger's nonthreatening nature these words of warning may not be true and he is in many ways a pioneer for mouse/cat co-existence.
Powers & Abilities
Tiger does not have any superhuman abilities but he is a cat, thus is naturally many times larger and more powerful than a mouse - Tiger rarely engages in physical violence so it is unknown how strong he is compared to other felines but he is certainly a large cat and could probably hold himself well in a fight against an aggressor.
Also as a feline Tiger has sharp claws and fangs, though he is far too good-natured to use them in any offensive manner - if one includes the events of Fievel Goes West as canon Tiger is also trained under the guidance of Sheriff Burp, becoming a Deputy in the Old West.