General:
* A pile of money
* A wad of cash
* A fortune
* A sum
* A stash
* A windfall
More specific:
* A hoard of gold (for coins)
* A roll of bills (for banknotes)
* A stack of bills (for banknotes)
* A purse of coins
* A treasury of funds (for large amounts)
Ultimately, the best choice depends on the context and the type of money you are referring to.