abbreviate, abdicate, abrogate, accelerate, acclimate, accommodate, accumulate, acetate, activate, adequate, adjudicate, administrate, adulate, adulterate, advocate, affiliate, agglomerate, agglutinate, aggravate, agitate.
Your query has returned 193 words, which include anagrams of birthrate as well as other shorter words that can be made using the letters included in birthrate.
The words in this list can be used in games such as Scrabble, Words with Friends, Wordscapes and other similar games.