Fastmail is a direct competitor to Gmail. That is Fastmail is Gmail but different. Fastmail is opposed to E2E e-mail encryption as this makes some of their features impossible (e.g. full text e-mail search).
Protonmail on the other hand has OpenPGP encryption that can be used even cross providers (on https://beta.protonmail.com composing an e-mail to Werner Koch <wk at gnupg.org> will enable encryption). But they don't support all usual e-mail features like IMAP and SMTP (there are bridges but...).