http://bugs.winehq.org/show_bug.cgi?id=33760
--- Comment #5 from murela_alba@abv.bg 2013-06-09 13:24:22 CDT --- I get most of those messages on all Touhou games as well, but not the "Unhandled filter 0x30004" - that's unique for th14. Most of the other games also have similar problems, but only with one specific font (see Bug 33761), never with things like character portraits. You can see from the first image that all the edges are smooth on windows, unlike in wine, so it's obviously not from the demo.
I don't understand your last comment - the images are as displayed when running in 960x720 windowed mode, so why would they be stretched. As a matter of fact they are slightly compressed vertically due to window decorations and the unity bar reducing the available lines to less than 720, but I see the same differences between windows and wine in fullscreen mode as well. And wine clearly doesn't blur the edges at all, hence the ugly look. I'm guessing it's failing to run some kind of smoothing filter for whatever reason.