Actually, Phoenix - to be correct, Amy is the Anglicised version of - ahem - Aimee, the original French name!
However, I am not without sympathy for your irritation - I did hear in a supermarket a rather disturbing "call" from a mother to her darling toddler "'Ere, our Chardonnay, f***ing gerr 'ere". Oh dear.... And I am aware of a lovely young woman who's parents saw fit to call her - wait for it - Bordelle. Presumably they thought it was exotic and sophisticated!
So, for my money, bring on the Aimees, Aymees, etc - rather those than the others...