I know that feeling! I had a time when I almost dismissed AR because I found the sounds boring. Today I can't stop searching for sweet spots and it's really satisfying to detect them.
Generally, use one-cycle LFOs on anything. E.g. use it on pitch and regulate tone decay separately for Bassdrums. Use it on ANY parameter. Never walk away from a sound without using the LFO.
For instance, use an exponential one-shot LFO with much depth on overall volume while keeping the actual volume level low, with long decay. This results in a snappy sound with long, soft tail - you couldn't achieve that with the normal AMP envelope.
Or turn up the basic volume and modulate attack with an inverted exp one-shot LFO.
Or create a bongo-like sound with FM and use a free running sawtooth LFO on AMP to create a natural feeling rolling sound. Modulate depth with plocks.
Need to stop now - really wanna go home and play