I've only had Acuras and I'm currently on my 5th one (all purchased used). I had 4 Integras that I drove to high mileage (all over 100k, one over 200k) and I currently have an '02 TL with 180k on it.
In general, very minimal maintenance/repairs are needed. These are reliable built-to-last cars. I had my first Integras when I was young and poor, therefore spending as little as possible on upkeep. There are the random issues here and there, but I think I've spent less on all my Integras combined than my husband spent on his Saturn he owned for the last 11 years.
A couple specific notes, though:
1.) I think most Acuras (at least the ones I've had) have major maintenance at 105k to replace the timing belt/water pump. This is expensive, but much cheaper than having a timing belt break and destroy the engine. This is one thing I've always been sure to do. If you are buying used, check the mileage versus the maintenance schedule.
2.) Avoid TLs from about 2000-2004. They are known for transmission failures. I chanced it and did extensive research and still had to spend several thousand to replace the transmission in my current TL. Other than that, I love it and have had minimal expense (just some suspension work, but nothing unusual for a high-mileage car).
Oh, also to follow up on a prior comment, they do recommend Premium fuel, but are designed to compensate for regular, if you need to use it. I use Premium unless there is none available (out of town small gas stations), so a bit more money on gas. But not bad.