There are many names that begin and end with the sound of Ann(e). Here they are:
Anna
Anne
Anabel
Anastasia
Andrea
Andromeda
Angela
Angelica
Angelina
Angeline
Angelique
Angie
Annabella
Annaleigh
Anneliese
Annette
Annika
Annie
Annily
Annis
Annissa
Anniston
Annemarie
Annona
Annora
Annot
Antoinette
Antonia
Anwen