The thing is, Roger is loved in other countries a lot more than he is where I come from. In America, he is well known, but that is about it. But in Japan, like Oswald and Stitch, he is well loved.
Here is an example. The Takara Tomi Roger doll.
You may notice that it's a smaller size than most Roger plushes, but in my opinion, it's the most based off of the character. Things from the tie to the one eye being smaller than the other are perfectly replicated.
Then there is this talking doll from the 80's that I found.
If you are interested in buying them, here are the links on Ebay.
Talking doll: http://www.ebay.com/itm/1988-18-EXTREMELY-RARE-Japanese-ROGER-RABBIT-talking-disney-doll-figure-MIB-/200973212099?pt=LH_DefaultDomain_0&hash=item2ecaefd9c3
Takara Tomy Roger: http://www.ebay.com/itm/Brand-New-Takara-Tomy-Arts-Beans-Collection-Roger-Rabbit-From-Japan-Pre-Order-/251337251263?pt=Stuffed_Animals_US&hash=item3a84de19bf