Well, turns out I'm not really a fan of the Windows icons for EVE either, so I set about finding a replacement icon, and what'd'you'know - there aren't really any (please correct me, and direct me, if I'm wrong). So I made my own.
I made two simple versions of the Trinity logo, and I encourage anyone who knows how to flip a pixel to try and make their own - EVE really needs custom icons (IMO anyway).
UPDATE: I found a tool that could extract the high quality icons from the EVE executable, so I've added them here as well. Turns out I was VERY close to the official icon with my 16x16 version... funny.
| Official | Basic | Basic with planet | |
| 128px |  |  |  |
| 48px |  |  |  |
| 32px |  |  |  |
| 24/22px |  |  |  |
| 16px |  |  |