I've had both (the BD880 in 600ohm though), and I actually prefer the Grado sr80e.
May be due to my choice of music listening. I used to listen to a lot of hard rock and metal, but now as I'm getting older I find my self listening to more soft rock, pop, soul, even classical and jazz.
Could be my ears are less sensitive to treble too.
Out of the Oppo's headphone jack, the 600 ohm beyers sounded good, but I had to turn the volume all the way up on some discs. Not so with the 32 ohm Grados.
The beyers sounded better when driven by my little Bravo v1 with Tesla gold pin tube, to my ears.
The Grados can sound decent driven by a phone or laptop; as decent as the source material anyway.
To my ears, the Grados sound more detailed, but that could be an aural illusion because I have some moderate hearing loss and the more forward midrange might be better suited to me.
In build quality, of course the Beyers win hands down with their aluminum vs. Grado's plastic.
For comfort, the Beyers are really nice with the padded headband and the velour ear pads, but the Grados are not discomforting to me either, especially after stretched/bent a bit.
The Grados are lighter and better suited to using on-the-go.
The Beyers have a nice, long coiled cord (or my pair did anyway) and are well suited for home use.
I got my Beyers for $150, barely used so it wasn't a matter of price to me, but I didn't like them a whole lot personally, so I sold them.
I may sell my 80e's as well; I just ordered a pair of used woodied 225's for $300 and hopefully I'll prefer them at that price!
Also I'm interested in tryint some IEM's, probably the JVC HA-FX850.
My advice is buy them both and try to find the Beyers used, then maybe sell the ones you don't like as much.