The most common Lucario set I've encountered in Singles is:
Lucario @ Focus Sash
- Close Combat
- Ice Punch / Hidden Power [Ice]
With access to priority, a strong STAB, Sandstorm immunity, Fake Out flinch immunity, and great coverage, Lucario is probably one of the best Sashers out there. As long as its Sash is intact, it can quickly eliminate most of its regular checks such as Gliscor and Garchomp (beware of Yache). ExtremeSpeed's +2 priority also helps a lot against stuff like Sash Terrakion Quick Attack and Weavile's Ice Shard, both of which can otherwise pick off a weakened Lucario. Ice Punch vs HP Ice is a matter of splitting offensive EVs vs OHKOing Gliscor and not being picked off by Iron Barbs (lol).