Well..... I'd say I guess just keep practising, and don't convince yourself into thinking your drawings are ugly. (Geez, I'm such a hypocrite.")
It can be really helpful to watch talk shows or dramas though, if you want to study the face. Movies too.
But... I have to admit, the sooner you start, the easier it'll prolly be for you. .-.
My math teacher once told my class about a study he heard.
It said that all people who're aces in their discipline had to have had at least 10 000 hours of practise. Although, that's of course not a sure-fire guarantee.
But time and patience is good to have. And don't give up. '^'
On a side note, if it helps to give you hope, I used to be horrible at drawing hands when I was a kid. (Not like I'm amazing or anything at them now, but hey, they're definitely better than how they looked before, lol... =_=")
I used to always draw them behind people's backs. But then I realized... how can I expect to get better if I don't even try? You learn better from mistakes than success, so practise what gives you a hard time. Don't be the best, be your best.
Pentagon posted a really helpful article. I read it too, I thought it was great. .u.
If you want to get better at drawing cartoon-anime things though, this
is actually an exceptionally helpful book. It's pretty outdated, yeah, but it's one of only 2 "drawing anime" books my sister ever bought, since it actually helps.
And I mean it; the artist does a very good job at explaining general things, not just girls. It's not boring either and is also great for more advanced people.
I really recommend you buy it or borrow it. It's the only "drawing anime" book I'd say anyone should consider reading.