weight is a better guide as to what sized horses you should ride. Height, ok, you might look silly on a little pony but if you're skinny, you won't hurt the pony by being too heavy. A general guide is that you can only just see over their wither. I am 156cms and using this guide, horses 14.1-15.0 are a good size for me. However, this doesn't mean I couldn't ride larger or smaller horses - I could. I'm not sure what range of sizes would be good for you though - i wouldn't stress to much about it. Most horses of 15hh and over can carry the averaged sized adult quite comfortable.
When I bestride him, I soar, I am a hawk: he trots the air; the earth sings when he touches it; the basest horn of his hoof is more musical than the pipe of Hermes. ~William Shakespeare