Most of these parts have been salvaged from broken XBOX / PS2 consoles, so unfortunately I don't have all part numbers :\

1 x 3.7 volt Lithium Ion CR123A (LIR123A) battery (from ebay)
1 x SMD MCP73833 LiIon charger IC (MSOP package), free samples at http://sample.microchip.com
2 x SMD 10uF  Tantalum Capacitor
1 x SMD  10K  0603 Resistor
1 x SMD   1K  0603 Resistor
2 x SMD 330R  0603 Resistor