I can't put up a recipe, as I throw in the kitchen sink, and I don't measure. But I will say that I use salt, dill, a sweetener of some kind, garlic, and natural vinegar. I used honey and sugar (on separate occasions), as well as stevia. I don't like sweet pickles, but I do like just enough to take the edge off the bitter.
That's the really cool thing about fridge pickles. I make what I feel like, and I experiment. I do have a really large jar that whole cucumbers will fit in. Once I was done with some jarred jalapeno's, so I threw in the juice. Oh wow, that put just a bit of an 'edge' on them without making them hot. Also, once I had some bread and butter pickles I got at the farmer's market and I threw that juice in when I was done. Again the hodgepodge of ingredients created an awesome taste. I keep waiting for that hodgepodge to go the other way for me into yuck, but it never has.
Once I grabbed up some cukes before I was done with my big jar. I had to slice these as I was out of really big jars, and start another brine. This batch tastes completely different. I don't have anything 'odd' in them. I still love them.
I would say that since I can make my own unique tastes from my own fridge pickles, it really makes the store bought kind extremely disappointing as I can make mine taste unique, no matter if no 'different' type things go in it.