Money2Manage is a simple and friendly income and expenses tracking tool focused on helping you manage your finance. You can create multiple accounts and give it a beginning balance amount. You can also transfer funds between two accounts.
Although Zefty functions like a bank account, there's no real money involved. Parents set up each child and specify how much allowance they get and how often. It's their money, you as a parent are simply holding it for them - so the mom and dad are the bank.