Which species would move to the top of the food chain if mankind goes extinct?

If we ever do experience a global pandemic that actually has the power to kill us all (fingers crossed) or if we die off some other way which animal takes over? Another primate? Gorillas? Maybe a big cat like lion or a tiger? Or would it be an underdog like a scrappy little honey badger? Pack of wild pitt bulls?

Or will nature just naturally balance itself out? Would any endangered species die off without having humans help protect their species?

I think it would probably be another primate. I'd put my money on macaques since they already seem to be taking back parts of Thailand, but I'd be rooting for the tigers from heaven.