Fights between these two species are not usual in the wild because tiger and lion do not share a large area. The only places where they could meet today are either some parts of India or the zoos.
However, men have been organizing such fights between lions and tigers from the highest Antiquity (we have accounts of Roman Games including such confrontations in the circus, along with gladiator fights).
Anyway, today, it happens that such situations are found in zoos and some of them are caught on video, leading to some kind of interest for them. This is probably the reason why I found so many of these videos on Internet. I am sharing some of the best ones (removing those which are so badly shot that it’s not worht the click to start the video).
Actual fight in a circus on the verge of bankruptcy.
Interestingly, many people (from Korea and all over the world) seem to be willing to find which species is the dominant one. They draw conclusions out of fights and confrontations mostly organized by Man.
Wouldn’t it be even better to assume that there is no real competition between them (out of what is staged by somewhat sick human minds) and that we should worry about the best way to save them from extinction.