IcedTea-Web Java Browser Plugin version 1.3 beta has been ported (3/21/2013) to OS/2; it requires OpenJDK 1.6.
Please remember to sponsor this project to allow future releases.
The new version improves compatibility with some sites, but if the previous version did not work well for you, this version is unlikely to change much; there are still known redraw issues.
Source: OS/2 Warp News and Rumors