These are the things that stick out, which I remember having happened at some point since we've lived here. I will continue to update if anything else weird happens.
For the record, here are some common "symptoms" of a haunted house that I have not noticed:
cold patches marks on the walls
objects here that aren't ours
lights going on and off
unexplained bloodstains
discord or animosity in the house
And another symptom which I'm not sure about is hearing voices, footsteps, and doors opening and closing without explanation. It is sometimes difficult to be sure if certain noises are coming from our place or next door - we are in an apartment block. If I had to guess, I'd say that most of what I hear is from next door, although sometimes at night it really does sound like water running in our bathroom. Not sure on that one, though.
I have noticed a feeling of being watched, which apparently is common, but I'm going to put that down to paranoia and nervousness induced by the other things.