The MCP23017 is a very useful chip. This I2C device can be wired for 8 unique addresses, and offers 16 inputs, 16 outputs, or 8 of each. A one stop chip for all needs.
You can talk directly to the chip, or use widely available libraries to insulate your experience from the nitty gritty.
Adafruit has a great Raspberry Pi tutorial to get you up to speed with a great increase in I/O capability, as well as allowing 5v I/O where the Raspberry Pi would only accept 3v inputs.
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These can be used to convert a parallel lcd to I2C, and give button inputs as well. Adafruit makes a lcd button shield using this functionality. Build your own at http://arduinotronics.blogspot.com/2015/11/diy-i2c-lcd.html