These fingerplay songs and chants are available from a variety of albums. 

      Arabella Miller – Fingerplay with additional lyrics
      The Beaver Call– With action photographs
      A Chubby Little Snowman– Fingerplay with illustrated directions
      Five Big Dinosaurs– Jack Hartmann
      Five Little Seashells– Fingerplay with illustrated motions
      The Grand Old Duke of York– With action photographs
      Grandmother's Glasses–
           Children enjoy varying the pitch of their voices with this classic fingerplay
      Here is a Bunny– Chant with action photographs
      I'm a Nut– With action photographs
      The Itsy-Bitsy Spider– Traditional children's fingerplay song
      Little Girl, Ready for Bed– Fingerplay with action photographs
      Miss Polly Had a Dolly– Traditional children's fingerplay song
      The Little Turtle– Fingerplay with action photographs
      Martin Luther King– An action song about Dr. King's march on Washington, D.C.
      Mr. Sun
      Sticky Bubble Gum– With photographs of motions and directions
      Ten Puppies (Diez Perritos)– Jim Rule
      3 Blue Pigeons– A Classic Children's Fingerplay
      Ten Little Chipmunks– Lyrics by Songs For Teaching™
      Tommy Thumb– This Preschool Classic Teaches Finger Names
      This Old Man– Thematic Connections for an Old Favorite
      Two Little Blackbirds– An Early Childhood Classic
      Where is Thumbkin?– Fingerplay with Actions

See also:  
Action Songs for Children
and Songs for Early Childhood, Preschool & Kindergarten