What Native American tribes were in colonial New York?

There were several tribes in that area: Mohawk, Iroquoians, Lenapi (Delaware) - not intended to be all inclusive, these were the major tribes in that area for the time in question.

The 5 Nations of the Iroqouis Confederation:

Mohawk

Onondoga

Seneca

Oneida

Cayuga

later the Tuscaroras werte added (migreted from North Carolina)

Also Mahican, some Abenaki (near Vermont).

There were alsoo tribes on Long Island and further south on the Huson River Valley but do not know their names.