Ethan
Evan
Eamonn
Edward
Elton
Ewen
Erik
Hal
Hamilton
Hamish
Hector
Hugh
Henry

Edie
Eva/eve/Evelyn/evie
Elodie (rhymes with melody)
Eleanor
Ellen
Esther
Esme
Elise
Eliana
Hannah
Hester
Harmacy
Haley
Helen
Heli
Heidi
Hillary
Henrietta
Harriet