I found this in the internet and I think this one is really good (no contact, no killing, no harmful chemicals):
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"Researchers have confirmed an old wives' tale: Placing catnip around the house helps keep cockroaches away.

Today at the national meeting of the American Chemical Society, the world's largest scientific society, Iowa State University researchers Chris Peterson and Joel Coats, Ph.D., reported that cockroaches are repelled by catnip - specifically, two forms of the chemical called nepetalactone, found in the catnip plant. Their findings could lead to the development of new natural insect repellents that could be sprayed along baseboards to keep roaches from coming out of the walls.

"There are really no commercial cockroach repellents," said Peterson. "Most are insecticides designed to kill roaches. People don't seem to just want them to go away, they want them dead...
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Here is the link to the article:

http://www.sciencedaily.com/releases/1999/08/990827071500.htm

http://en.wikipedia.org/wiki/Cockroach

According to Wikipedia, the cockroach will leave a trail of chemicals in it's feces alerting other cockroaches which way to good food. Further down, the article also mentions that wasps are the best natural predators of cockroaches.

So, I'm smart enough to put two and two together.

1.) Get some cockroach feces
2.) Find a wasp's nest.
3.) Make a trail of cockroach feces to the wasp's nest.
4.) Hit the wasp's nest.
5.) When the wasp comes out, look innocent and point accusingly at the cockroach.

Stomp on it lots

The solution is easier than killing the roaches, which is more fun. If there are no dark recesses for said cockroach to hide in, there will be no safety. Focus all your light on the dark corners, provide ample central lighting and your cockroaches will be effectively evicted! It would help if you could harness the power of the sun, but that solution requires godliness. You may also have to buy sunglasses for your insanely bright apartment.

On occasion one may be tempted to visit the local pawn shop and purchase a small flute. One then might find a competent teacher and learn to play the instrument. Upon becoming a master flautist, one just may be able to charm said vermin with music, marching the whole lot out the door and into the local half-way house for roaches.

For those who are a bit more practical (or who can't afford a flute teacher at the moment), you can simply:

1. vacuum the suckers up with your upright vacuum...them spinnin brushy things on the bottom'll do a number to all but the most mutant roach.

2. You can suck them up through the tube as well (with a great deal of extensions), but I'm not sure if the beast'll buy the farm in the process.

"Let" the pilot light on your stove go out...
allowing just a little bit of gas to slowly fill your apartment.
Then, when the refrigerator's compressor clicks on...
Kaboom.

No more cockroach.
(unfortunately you'll need to find a new apartment too)

Call the Neighbor (or the closest SO)...they can clean up the guts for you :)

But keep the lights out so the roach doesn't hide!!

You could trap a paper or plastic cup over it, slide a piece of cardbord underneath it, then turn the whole thing over. After that, you can do several things. Off the top of my head:

1. Set the bug free in the outdoors.

2. Set the bug free in to a toilet.

3. Tie up the entire thing in a plastic bag to trap it forever.

4. Replace the cardboard with saran wrap and a rubber band, then shake the cup violently to really mess with the bug and disorient it.

5. Pour hot water or some other random liquids in to the cup just to see what happens.

6. Place the cup on the desk of someone you really dislike.

7. Stuff as many paper towels you can in to the cup until you hear a crunching noise.

Umm....I've only tried some of these but I won't say which ones. I suppose not all of them end up in instant death, but I'm okay if bugs die slowly in my garbage can. I also don't want to look for an image or video to upload since I hate bugs.

This one takes a little planning and patience...

Tape a large piece of saran wrap to the floor. Tape it down nice and tight so it doesn't bother you too much when you're walking around. If you have to tape it onto carpet, make sure you put a hard surface under the saran warp (like a thin hardcover book). The saran wrap may be here for a while.

Next time you see the roach, grab a nice heavy hardcover book that you don't want anymore (old calculus textbooks work) and herd the roach onto the saran wrap using a combination of stomping, hollering, and swatting at it. This is probably easier with an accomplice.

When it runs onto the saran wrap, drop the heavy book on the roach. The saran wrap keeps the guts nice and tidy. Pull up the tape and saran wrap around the book and toss the entire bundle in the trash or better yet, the dumpster outside.

use the closest chemical spray....i.e. tilex.
spray and run for dear life. (screaming is permitted)
dispose of roach by sweeping it into a trashcan. eliminate.
clean. simple. easy. i win!

(Note: This was supposed to be a solution, not a comment)

This solution will require cockroach bait.

1) Taking the bait, make a trail from where the cockroach was last seen to the toilet.

2) Hide behind the shower curtain waiting for the cockroach to follow the bait to the toilet.

3) Jump out of the shower making loud noises, scaring the cockroach and making her fall into the toilet.

4) Flush!