Flypaper is great until the first time you accidentally brush against it and can’t get the crap off your skin without acetone.
A tip for fruit flies and gnats: mix dish soap with apple cider vinegar and leave a saucer of it sitting out. They’ll poison themselves pretty quickly.
Even better, build a trap: cut the top off of a soda bottle, flip it upside-down, and replace it so that you have a funnel leading into the lower half. Pour in a little bit of bait (vinegar for fruit flies, sugar syrup for houseflies) mixed with dish soap. This ensures they die in one place instead of all over the room.
I dunno too much 'bout flies, but this electric tennis-raquet-thing works fine against mosquitos.
And it makes a really satisfying sound–ZAP!!!-- when you get the bastard…
Bugasalt Fly Gun. Uses salt shot-gun style, one shot per fly. Guy has serious working machine, looking for investors. Looks like fun. (PETA I assume you know where I live.) Vid.
Mosquito laser, with a few tweaks (cite to developer). This is serious with big names and money, developed for anti-Malaria programs. Excerpt from TED. Wiki history here. Photonics fence.
Inasmuch as the OP has admitted to fabricating some aspects of his post, this may be irrelevant or immaterial or both, but before I read his confession, I wanted to say that if he’s too lazy to buy a fly swatter, where would he get the energy to buy flypaper? That’s internally inconsistent. Ok, never mind.