Below are links to free patterns for star blocks. (Some of the patterns are for full quilts, but they include the pattern for the star block used in the quilt.)

Arkansas Star

Evening Star

Friendship Star

Iowa Star

Ohio Star

Go-Along Star #1

Go-Along Star #2

Lucky Star (Paper Pieced)

Bold Star (Paper Pieced)

Dark & Light Star (Paper Pieced)

Guiding Star (Paper Pieced)

Illusion Star (Paper Pieced)

Split LeMoyne Star (Paper Pieced)

Craftsy's 10 Free Star Quilt Patterns

Fave Quilts 33 Star Quilt Patterns