Lithium-charger-and-LDO.This is a circuit that is used very often. It features a MCP73831 lithium charging IC capable of charging currents up to 500mA and a generic SOT23-5 LDO. I chose ultra low quiescent current mudels such as XC6215 in the 3.3V variant so the circuit can provide 3.3V all the time and last for ages