PETA Asks City of L.A. to Honor Bob Barker on Sunset Blvd.

Bob Barker's animal rights legacy is something PETA wants to honor with a street name change on the most iconic boulevard in L.A. ... which could actually happen!

A rep for PETA tells TMZ ... they've made an official request with the City of Los Angeles for an honorary add-on to Sunset Blvd. -- to pay tribute the late 'Price Is Right' host, who just died last weekend.

Don't worry ... this isn't as wacky as it sounds. PETA assures us this would only be a minor change, and it wouldn't even require the removal of an actual "Sunset Blvd." sign hanging from street lights.

Basically what we're talking about is a second sign -- under one of the Sunset Blvd. signs -- that would read "Bob Barker Blvd." The PETA rep says they'd love to have this on their block on Sunset.

There's also this ... PETA tells us they've actually taken steps to make this happen. They've contacted City Councilmember Hugo Soto-Martinez, who reps their area. We're told PETA brass and Soto-Martinez's staff are scheduled to meet in the coming weeks.

PETA says they're pushing this because Bob actually made a generous donation way back when that allowed them to open this L.A.-based office, and they wanna return the favor.