One of the original developers behind OpenSSH (Dug Song) started a competitor to RSA called Duo Security just a few years ago. They sell Gemalto IDProve 100 to

One of the original developers behind OpenSSH (Dug Song) started a competitor to RSA called Duo Security just a few years ago. They sell Gemalto IDProve 100 tokens and support Yubikey, but advise using their patent pending push based 2FA authentication because: "Login requests are signed with an asymmetric PKCS#1 v1.5 key pair, which provides a stronger identity assertion than passcodes and prevents “RSA-style” breaches." From https://www.duosecurity.com/duo-push https://www.duosecurity.com/duo-push They're used by companies like Facebook, Twitter, Sony, Arbor Networks, MIT, etc. So yes, RSA has some strong competition.