voodoo pimp

https://www.pokecheck.org/?p=detail&uid=4503965

Zen Headbutt is a tutor move for Genesect.

http://vsplayer.pokecheck.org/?bid=52-66455-24507

On turn 2, Staraptor was burned by Volcarona's Flame Body. It didn't make any difference in the RNG for the rest of the battle, but I'm not sure if that was because it was still accounted for or just coincidence.

In any case, it's a good solution for the OP specifically - it requires a fair amount of skill and effort unlike hacking (whether it's cheating is somewhat subjective, but it's objectively not hacking), but it doesn't take forever or give you inferior Pokémon like "random" breeding.

OP, I think if you take the time and effort to learn RNG properly (timing isn't really an issue in Gen 5 unless you somehow are off by more than a second), you'll realize that it's really not as hard as it seems. Otherwise, there really isn't any other option. Breeding will always take forever and hacking will always be hacking.

http://vsplayer.pokecheck.org/?bid=32-02809-09409

Mirror Move is also broken, Murkrow did nothing on turn 4 instead of using Rock Slide.

http://vsplayer.pokecheck.org/?bid=54-24021-21889

Looks like Quash is broken. Metagross should have gone before Dunsparce on turn 3, and everything is off after that.

http://vsplayer.pokecheck.org/?bid=26-72323-47628

Drizzle activated, then I used Rain Dance, then it said rain ended after turn 5.

http://vsplayer.pokecheck.org/?bid=58-31728-03912

Scizor's Bug Bite on turn 1 should've been a crit.

Edit: Don't know how I missed it before, but Espeon's attack on turn 1 (Psyshock on Tornadus) seems to have disappeared, presumably because of Magic Bounce, which explains the missing RNG call.