Ariane 6 is a worthy competitor to the Falcon 9 -- if it hadn't become partially reusable. If it had reached the market 15 years ago, it could have been relevant.

Ariane Next could be a worthy competitor to the Falcon 9R, if they manage to get it to market by, say, 2020. Looks like they're planning to be about 15 years late to market there as well.

They've also got a fully-reusable Starship competitor in the works -- can't be bothered to dig up the link for it, sorry -- which if the schedule holds, should hit the market about 20 years after Starship enters commercial service.