Technically the new content support was added in the last update, but I just noticed it this week. Since no one has reported on it yet I am going to regard this story as breaking news.
I have tested the free app and can confirm that it supports video. I couldn't get my Nook HD+ to take a screen shot, but the video played.
And as you can see in the screenshot below, this app also supports a lot of the cooler features found on its larger competitors, including (optional) animated page curl, estimated reading time, and user defined formatting.
Moon+ Reader also appears to support right to left languages like Arabic, though of course I can't confirm this (I can't read the language). The app doesn't appear to support any other Epub3 features, so far as I know, but that's not a criticism; the developers didn't claim support for the rest of Epub3.
Moon+ Reader is also on sale this week in celebration of its 3rd anniversary.Act fast and you can get the paid version for $2.50. It has more features and of course is ad-free.