1. As one stated, lost of tide
this will affect the biological equibillium.
as many lifeform (animal or plant) do rely on the ocean tide.
massive extinction of many-many species, and this effect will cascade onto other specis

This effect is very tremendous, even if you don't get/feel the impact in short term, but it will come over to everyone one within 1 year.

2. as one mentioned, will affect the earth rotation.
though i guess this effect only will impact over long-long time later.

***
I dont think earth and moon is really "balance".
I forgot either its from article or NatGeo, I read the moon rotation radius onto earth actually is gradually reducing, though in very tiny number/scale.

based on this, the moon eventually may crashed onto the earth some time very very late later, or flung away by the earth gravition on certain circumstances.