No kidding. Off the top of my head..."my kingdom for a horse," "green-eyed monster," "break the ice," "as luck would have it," "kill with kindness," "eat out of house and home," "love is blind," and my personal favorite, "the stuff that dreams are made of." I'm sure there are a bunch more. It's been a while since I read some his plays.
There's a UK TV comedy show called Upstart Crow which 'reveals' that Shakespeare didn't so much coin these phrases as collect them and use them, but not necessarily first. There's a running joke that he retroactively claims some phrases as his own, that simply weren't. Obviously it's not serious, but it makes you question these things....and it's very funny, in an English and theatrical kind of way.