I have both Bean/Groves* and Little/Davis, but somehow I haven't listened to them much. In fact I don't even remember having listened to these recordings! Weird. Both are relatively new purchases. That's one interesting thing to do in the near future: To compare these two and see if they make Dong-Suk Kang/Leaper** on Naxos sound "piss-poor" in comparison. 
* In the 30 CD EMI Elgar box.
** This was my first Elgar CD ever. I got it in Christmas 1996 as a present from my dad. I had heard Enigma Variations on radio a few weeks earlier and it had changed my life. The whole December 1996 I has talking about Elgar and how I must explore his music because Enigma Variations was just super-promising. I just knew Elgar is my favorite. So my dad got this for me for Christmas and it was such a wonderful way to dive into the music of Elgar! That's why the disc is special to me and it takes miracles to make me call it piss-poor.
Some father to give such a fulfilling and life-enhancing Christmas present.
I mentioned on another thread that sometimes a composer's most popular work is disparaged because it is popular! I haven't searched but wonder how often Enigma Variations pop up on this thread and others.
On the subject of the VC Ida Haendel is an interesting one. When I first heard it I thought it too slow, but over time I have come to the realisation that with the help of Boult she has more to say then many other versions.