One on One is the only basketball game I know of on the Coco, and was actually made for one of the larger game companies in it's early days... Electronic Arts, who have continued to dominate sports games even to this day. This game pits two of the famous basketball players of the early 1980's against each other: Dr. J (Julius Erving) and Larry Bird. One can play the game with either 1 or 2 players, and you can do things like steal the ball, get penalties, and play several different timed games.
Title: One on One
Author: Steve Bjork (SRB Software) based on original code for another platform by Eric Hammond
Publisher: Electronic Arts; sold through Radio Shack/Tandy
Released: 1985
Requires: Color Computer 1,2,3, 64K RAM, disk, joystick(s).