I took a quick look at Matrix.
You can find a Webclient here:
https://riot.im/app

It seems similar to Discord, IRC gateways are already implemented and @picholo it seems you can even bridge to Slack and Skype if you really want to.
https://matrix.org/docs/guides/faq

What I am not sure of yet: Can you look at the history of IRC bridged channels? At least for the #bitcoin channel it dosn't seem to work.