Is there a website that tells the moon signs by month for the past 10 years?

Answer 1

Ooookay, I think you are looking in the wrong section. Moon signs are in astrology, not astronomy. You can find that in the
Home > Entertainment & Music > Horoscopes
section. The folks there will probably be able to give you better assistance that you will get here.
All the same, (to try to help) the moon goes through every constellation of the zodiac every month. I assume you want to know what sign the moon was in on a given day of a given month of a given year?
The link below can give you the information you seek.

Answer 2

yes : http://www.the.lunareclipse.com