220v to 5v AC to DC Rectifier IC
Such a device is impractical to design as an dedicated IC because of the high voltages involved and the need for isolation. You've found a simple bridge rectifier which is just a small part of what you need.

In this case you need a power supply module. These are available in PCB-mountable packages similar to ICs but generally larger. I found a whole category of these at Digi-Key for example.

You also need to know how to work with potentially1 lethal voltages on the same PCB as low voltages. I'm not sure it's a good idea to design something like this on a PCB if you're not sure what a bridge rectifier does. At least you need to maintain a good isolation distance between low and high voltages.

1. Pun