I regularly use two forums and two web sites on my phone. They're saved as favorites. One does have a mobile version which is accessible by clicking the link. I've saved it that way.
I've email set up as tiles.
I dunno. Seems people are always having issues with web site apps, and I'm surfing along almost trouble free. Sometimes I think it's more about wanting to use apps than needing to. But hey, different strokes.