What are the types of fightless birds?

There are Ratites which have Ostrich, Emu, Cassowaries, Kiwis, and Rheas.

Penguins are also flightless.

The Anseriformes (Waterfowl) that have the Magellanic Flightless Steamer Duck, Falkland Flightless Steamer Duck, White-headed Flightless Steamer Duck, Auckland Island Teal, Campbell Island Teal.

Galliformes (Wildfowl) have Silkie and Domestic turkey.

The Podicipediformes (Grebes) have Junin Flightless Grebe, Titicaca Flightless Grebe.