Kind of the feeling I'm getting too.
There is more than enough to connect the two. More than anything - the finding of the ring.
As far as actual events that happen between the events of the Hobbit and LOTR, if we got a movie of that, it would pretty much have to be complete fan fiction.
Do not want.
And like I said, if it's just about wanting more movies based on Tolkien's work, there is a great wealth to draw from. Honestly, a movie based on the story of "Beren and Luthien" would be epic beyond words. And although it doesn't
directly connect to LOTR and the Hobbit, it is in the same world. Also, Aragorn refers to the story (in LOTR) as it mirrors the Aragorn/Arwen story.