Looking for non-standard (i.e. no dill) fermented pickle suggestions
I'm including links to specific recipes here, but not all of these recipes give fermenting instructions. I'm sure you could do these fermented though - as opposed to using whatever other pickling method is given. 


Pickled watermelon rinds are fun - spiced w/ clove, ginger, lemon, and cinnamon.
Blueberries can be pickled - try with allspice, cinnamon, and clove.
Lemons or limes pickled with ginger and green chiles - or try with cinnamon, peppercorns, and a few hot peppers. I really want to try this!
Nuts can be pickled, too: Pickled Green Walnuts may be worth trying.
Have you ever had pickled ginger (commonly served w/ sushi)?  
Lastly, you can also apparently pickle fish. Pickled Herring, anyone? 


You may want to check out this book, containing 200 pickle recipes or this book with hundreds more.