One insect that I have in my apartment year round, no matter what the conditions, are silverfish/paperfish. They aren't destructive or dangerous, just really annoying. They've taken over the whole apartment, mostly bathroom and kitchen, and like to fall into things (they are good at walking on vertical or upside down surfaces, but are also very good at falling).
I once didn't check the measuring cup before measuring some rice to cook and when I was eating my rice I was horrified to see 3 very dead silverfish staring up at me.

Now I check every mug, bowl and pan that I take out of the cupboards before using it...