From 1983, here's a contest that Ziploc ran featuring Bugs and Porky.
Prizes included $10,000 in cash...or 3 tons of carrots. I hope whoever won chose the carrots.
In 1989, Ziploc did another Looney Tunes-themed promotion. This time it was a mail-away offer for a free (with a bunch of proof-of-purchases) set of Bugs Bunny and friends plastic cups (in honor of Bugs' 50th birthday). I actually own a set of these things. My grandmother sent away for them for me. The four cups were: Bugs, Daffy, Elmer, and Wile E/Road Runner.