Looks like an infinite loop redirect or something. Putting it into compatibility mode only stops the infinite loop thing, but then nothing appears (also looks like the Tracking Protection Lists I have enabled in IE11 are blocking some content). They don't seem to have a working mobile website, but you could try contacting the website owners to check compatibility against IE11. Unfortunately, I can't see a way around this on IE11.
By the way, if you didn't know, MS changed the way Metro apps are closed in 8.1. It's no longer just a swipe-down, as that merely puts it to "sleep." If you really want to close a Metro app, you have to swipe down and hold at the bottom of the screen until the image flips over. Slightly annoying.
The contact page works. Then the menus and pages appear to work fine from that page and the subpages like schedules, or subdomains like football.realgm.com. So something is screwing up on the front page, I guess. I would add the main realgm.com to your compatibility list so at least you wouldn't get trapped in the infinite loop.
That's the first thing I'd do with any "problem" website (though obviously it can't fix everything, but it's a good first step). Hopefully the subdomains/webpages you actually use from that domain are reachable from the working pages, and you can just add to favorites.
It still helps. The point is that the infinite loop brings the entire BROWSER to its knees so you have to close the application. Without the infinite call loop, you can at least just close the tab and go elsewhere.
That doesn't seem to be the crux of the problem, at least in this case.
We have two things going on--Realgm is sniffing for a mobile platform and not giving the user any choice, and then Onswipe isn't compatible with IE11 (so it seems, since there's an infinite loop script thing).
I edited the registry on my Surface 2 so IE11's user agent string would not show ARM. So then the user agent of my IE11 ends up showing this:
Mozilla/5.0 (compatible; MSIE 9.0; Windows NT 6.1; Trident/7.0; Touch; rv:11.0) like Gecko
Realgm still wouldn't serve correctly. It seems to be the TOUCH part of the string that's really breaking things with the sniff. I haven't figured out how to get rid of that in the registry or if it's stored somewhere else.