Tigra has quest appeared in many comics over the years, and as a long lasting member of West Coast Avengers. One could think that she doesn't have enemies of her own, but she too has brought some villains to Marvel Universe.
Malcolm was her first villain, who she fought as still human. She had slightly above normal feats thanks to Malcolm's funding. Malcolm died when they fought, not by her hands, but by his own.
Zabo is Malcolm's brother; she first met him along with his brother. Zabo escaped the first confrontation, but he blamed Tigra for his brother's death. Only after she was tuned into furry heroine, he was able to find her. Spider-Man even helped Tigra to fight Zabo, but she was able to convince him to make peace with the past.
Surisha was a demoness living in sewers, thought she had a beauty of a princess; she needed human life-force to keep it. Her minion, Aesklos helped her and she helped him back. Tigra tracked them under the city and used Aesklos to end Surisha.
Aesklos was said demoness' minion; he had symbiotic relation with her. He hunted for humans and drained their life-force; he then returned to their underground lair and feed Surisha. That in turn kept him alive and gave him purpose. Tigra managed to convince Aesklos to feed on Surisha, and that killed them both.
Cougar was one of the Cat People that had evolved on earth, separated from their brothers in Land Within. He had selfish wishes and they involved power. He managed to get his hands on Null-Bands and tried to use them to siphon Thing of the Fantastic Four power. Tigra fought against his plans, and he too was killed, though yet again not by Tigra's hands, but by his own human lover.
Tabur is creation of High Evolutionary from a regular house cat. He was left alone to earth back when High Evolutionary flew to space to inhabit his own planet. He was bitter and angry. Cat People took him in and helped him. He in-turn tried to help them by wanting to conquer the earth for them. Earth-bound Cat People, who that day revealed themselves to humans, and Tigra fought against him. In the end he was turned back to house cat.
Tigra had second confrontation with him years later, when Tabur had claimed the crown of Cat People living in Land Within.
Tigra found a new enemy in Australia when she lived with aborigines in the jungle. He had hired a band of mercenaries to kidnap local people and then he sold them. Women however were brought to his personal harem. Tigra too was captured, and used her sexiness to get close to him. Tigra's friends were released and returned to their homeland. Sultan was left behind swearing revenge.
Brethren of the Blue Fist was a group of police men who fought crime by killing criminals. Ironically the group was founded by Tigra's dead husband. In fact he was killed by the same group when he thought they have gone too far. Tigra used false alias to draft into police academy, and let herself initiated to the Blue Fist. Then from the inside she brought them all to justice, and completed police training to boot.
Evil rich dude who wanted Tigra's gene's to make himself a super powered human. He even went that war that infected dozen or so people with cell degenerating disease to lure her to him. One of those infected was Tigra's father.
Torg is just muscle man for Dirkreich. He was part of the experiment for Dirkreich to gain superhuman abilities, but that experiment failed. Now Torg is basically just a jellied mass in the power armor. His mental capacity has also diminished, and that makes him good in following orders.