Basically any stage that's friendly to Extreme Speed's use - granting many options of mobility and recovery, Counterable hazards, and of course, walls.
More Beneficial Stages:
Mushroom Kingdom U
Luigi's Mansion (Omega)
Jungle Hijinx
Bridge of Eldin
Temple (Uhh, sure... It's big, but grants the most out of Lucario Parkour)
Yoshi's Island
Great Cave Offensive (Omega)
Kalos Pkmn League (Normal, can't cling / wall jump in Omega)
Onett (Counter the cars, leap off houses)
Coliseum (Omega)
Castle Siege
Palutena's Temple (Like Temple, it's-a HUGE. Go nuts.)
Gamer (Omega, you're able to wall jump the sides)
Garden of Hope
Wii Fit Studio (Omega)
Boxing Ring
Duck Hunt
Wrecking Crew (Time Double Team with the incoming bomb blasts)
Windy Hill
Wily Castle (Countering Yellow Devil is fairly easy)
Suzaku Castle
Questionable Stages (Mainly the "traveling" stages):
Delfino Plaza (Normal)
Mario Circuit (Normal)
Skyloft (Normal)
Great Cave Offensive (Normal. I dunno for sure, but Lucario may be extremely deadly here if used carefully, thanks to those Danger Zones... Just don't get greedy.)
Wuhu Island (Normal)
...Pac-Land(?) (Normal. Oddly enough, you're able to cling and jump off hydrants and cacti if you Extreme Speed into them. The staircases during the water spout segment are also jumpable.)
These certain stages below may require more skill on how you can guide Lucario to safety. There's a wall in the center you can use if there's too much pressure. By saving your jump and with practice, these can be rather helpful.
Luigi's Mansion (Normal)
Pyrosphere (Easier to recover on Omega)
Pokemon Stadium 2
Any stage I haven't mentioned are either okay or goes against Extreme Speed's recovery. Maybe if I'm bored out of my mind again, I may update this. I've yapped on long enough, I believe.