Ah you play on xbox, so you're not able to use mods...
Without mods (didn't want to spend hours on it), I managed to make a meh-looking high elf (next time I'll just go Khajiit and not get bothered), she's ok, not great looking, but not ugly/deformed/manly. I couldn't do better than meh, so I just kept that and now I use a complete set of the awesome nightingale armor, which has a hood that completely covers my character face.
So: if you want to play an elf, cover his face with head armor and it's k
Oblivion had the same ugly problem, but even worse and for all races.
Hopefully TES VI will be better. Idk maybe they could hire some experts who made Lara Croft or something. It gets boring to play so ugly champions you have to hide their face.