Togami Explains: Bankballs

I've found myself explaining this fairly often, so I decided to make a guide I can refer people to about this.

Bankball refers to HGSS apricorns, Safari Ball, Sport Ball, Dream Ball, and in some cases, pokeball type + HA combinations that can only be found by Bank. There are a few odds and ends in addition to those, however. This is accurate as of ORAS:

Colos
In Pokemon Colosseum, you were able to catch Quilava, Croconaw, and Totodile as female in a Pokeball type of your choice. Any gen 3 ball type qualifies. Do note that Dive, Repeat, and Luxury Ball of those are harder to find, as they have to be traded over to Colo first. There are none in game.
Serebii is wrong, Premier Ball can be obtained without trading. Purchase 10 Pokeballs like usual to get them.
These cannot have the Hidden Ability.

Patrat/Watchog
At the time of writing this, Patrat's HA cannot be found XY/ORAS. It is also not found in the Dream World. The only way to obtain it is by Hidden Grotto in B2W2, where it has a fixed gender ratio that cannot be modified by Cute Charm.
Any pokeball type applicable to gen 5 wild pokemon is usable here. Obviously, no Dream Ball of this.

Misc Dream World Mons
There are several HA females that can only be found in the Dream World at this time. However, you do not HAVE to capture them in a Dream Ball. Such a restriction only applies to Dream Radar, not Dream World. Any Pokeball type can be used here to get Premier Ball Kabuto or Luxury Ball Aerodactyl, for example.

As of ORAS, the following are Dream World only HA females.

Kangaskhan*, Omanyte, Kabuto, Aerodactyl, Snorlax, Sentret, Qwillfish, Lileep, Anorith, Cranidos, Shieldon, Burmy, Hippopotas, Basculin (both blue and red), Tirtouga, Karrablast, Shelmet


*: Standard Pokeball HA Kang is of note here, as all of the other Bankballs can breed their Pokeball type out, but Kang cannot due to the all female gender ratio.