here are a few that I have done that are impressive to look at, and not too expensive.
Electromagnetic linear accelerator....Rail gun, using lorence force, big capacitors, and and a little machining skill, not to mention some creative work on a switch that doent self destruct, you can shoot pennies through trees. You can build your own capacitors, which is in itself a fun project, but getting the farads you need might be a little difficult.
Electromagnetic can crusher.....Using ultra high power pulses through a thick wire coil, you can crush aluminum cans.
Coil gun.....this is probably your best bet, and has the most potential for using some fun electronics that do not need programing. A single stage, with one coil drawing a projectile into the middle of it, then being turned off before it reaches the center is easy to build. A multi stage would be the fun one. Two or more stages where when one coil shuts off, the next in line turns on, continuing the acceleration process. You could have "eyes" on each coil telling it to cut power at a certain time, and triggering the next stage. silent, powerful, fun.
Check out sam barrows power labs, on google. good ideas, I stole most from him. lol, but all were fun to build