Top Ten DC Comics Villains that Broke Into the BatcaveTechnicallyIDoComics Batman surely has a hard time keeping his lair secured, but here's a list of goon that have breached in the cave.
The Top Ten
Things didn't go well for Alfred when Joker breaks in and chops old Jeeves' hand off with a meat cleaver. Joker appreciates how his signature card was kept in the Batcave. - TechnicallyIDoComics
This was a crossover between Marvel and DC and Bullseye did fought Batman in his Batcave. - TechnicallyIDoComics
Well he did came from Marvel, not DC. Surly he did broke into the cave in the crossover.
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3. Talia Al Ghul