I did a search for this, and I did come across someone mentioning something vaguely similar in the surgery forum, but it was related to post-surgery bruising, so I figured it was still worth asking.
I'm a fair-skinned person; thus, I bruise very easily. I've been taking ibuprofen more regularly than normal (but still no more than 1-2 times a week, and only like 2-400mg at a time) since I got the braces...usually to help with bad pain or in advance of knowing that I'm eating something tough.
I've been noticing some random small bruises...cat footprints, generally.

My cat can bruise me by walking on me on a normal day, but I'm noticing a few more than normal, and I seem to notice the extras a day or so after taking ibuprofen...and they fade fast thereafter. I thought I remembered that ibuprofen can cause you to bruise easier, but I can't seem to find anything confirming that on the web, except in relation to extreme reactions indicating internal bleeding. I doubt I'm having an extreme reaction. The bruising is in "normal" places, and as I noted, I tend to bruise easily anyways. Plus, I feel fine.
I've cut myself off of ibuprofen for now, as I just don't like getting bruised, but my bottom teeth are really achy, and it's driving me batty that I can't take anything for it. I was considering Aleve (naproxen), but I can't remember if the bruising is a specific side effect of ibuprofen or if it's common to all NSAIDs.