Both
OpenLiberty and
Payara (Server and Micro) 183 support MicroProfile 2.0:
For others....
Thorntail (formerly known as
WildFly Swarm) isn't there yet, probably because it has changed to develop MP specs separately as
SmallRye so the implementations can be included in both
WildFly and
Thorntail. You can see the progress of
SmallRye here:
https://www.smallrye.io/projects/overview
Fujitsu announced
Launcher a long time ago, but there is no word (that I have seen) on how they will proceed. They are derived from GlassFish, like Payara, so whether they will collaborate with
Payara or
SmallRye remains to be seen:
https://github.com/fujitsu/launcher
Beyond those, there are a couple of smaller implementations which implement a few specs:
I think that about covers everything! If you want 2.0 *now* you'll need OpenLiberty or Payara Micro/Payara Server. For the near future, keep an eye on: Thorntail and WildFly (both using SmallRye); TomEE 8.0; Oracle Helidon.