As others say, it's an audio mixer.
The most basic "passive" circuit is like this:
http://www.daycounter.com/Calculators/Voltage-Summer/Voltage-Summer.gif
The resistor value should be higher than the minimum any source can drive, but lower than the input of the next stage.
1K is generally suitable for what you need.
With a passive mixer, the output level is divided by the number of inputs used, so three inputs would give 1/3 the output compared to a single directly-connected device.
Active mixers use preamps and/or an output amp to boost the level up again.
eg. this has an output amp with variable gain (and x2 for stereo)
http://www.circuitlib.com/images/tutorials/4_audio_mixer.jpg
The next level is to add gain controls to each input to balance the levels, something like this (showing one channel, two needed for stereo)
http://colomar.com/Shavano/opamp-s3.gif
Put it all together and you get something like one of these: