Catch whatever you want in whatever you want, but in terms of aesthetics
>Pokeball
Only starters. Seriously, if you're going to be autistic, you might as well as use a better looking fucking ball.
>Great Ball
Awful aside from Azumarill, Tentacruel, Feraligatr, Tangrowth, Metagross, Garchomp, Greninja, Gigalith, and Salamence, because it matches the color.
>Ultra Ball
Awful aside from Mawile, Dusknoir, Electrivire, and Umbreon, because it matches the color
>Master Ball
Mewtwo only.
>Level Ball
Awful.
>Lure Ball
Awful except for Venusaur, Tyranitar, Reuniclus, Sceptile, Flygon, Yanmega, Lilligant, and Hawlucha, again for the color. Don't confuse with Gen III Lure Ball.
>Moon Ball
Relatively decent for Psychics and other Moon Pokemon.
>Friend Ball
See Lure Ball
>Love Ball
See every Pink Pokemon. So loads of Fairies.
>Heavy Ball
Generally gross except for Carbink, but you can't get it with Carbink. Maybe Glalie.
>Fast Ball
Plenty of Fire types.
>Premier Ball
If you want to be an autist, use this one. Otherwise, all White Pokemon look good in it.
>Repeat Ball
Solrock, I guess.
>Timer Ball
Groudon, Zangoose, and Volcarona.
>Nest Ball
Serperior, Whimsicott, Breloom, and LUDICOLO.
>Net Ball
Kyogre, ARIADOS AND GALVANTULA (seriously), Tangrowth, I dunno, catching Water and Bugs with this is sort of canonical.
>Dive Ball
Poliwrath, Jumpluff, Latios, Altaria, Walrein, Wailord, and Samurott.
>Luxury Ball
The other autist option. Claydol, Darkrai, Houndoom, Weavile, and Honchkrow, otherwise.
>Heal Ball
Blissey and Audino, and other pink healers.
>Quick Ball
Fuck you faggots, Manectric deserves this ball. Lanturn, Luxray, and Minun, too.
>Dusk Ball
It's entry effect alone makes it okay for some Ghost and Dark-types. It actually is pretty ugly otherwise.
Quit fucking arguing.