I am an electric engineering student and i would like to experiment with an FPGA - not specifically for mining.
what would you recommend as a cheap starter kit?
I am thinking on using it for audio/image compression/decompression and mining experiments
I am thinking specifically about fpga since so far i mostly had to deal with micro controllers and software, and now would like to experiment with hardware.
Is there a sub 100$ option?
There isn't anything that cheap, but you may wish to consider either Icarus or Ztex, because they have lots of I/O options. See http://bitcoinfpga.com/
for a good comparison of various FPGA options.