Now for you Worst...
1. If you see anything besides the stock exhaust, or just any mods in general, walk away. Rice=bad for more than just looks and sound. 98% of ricers rag on their cars.
2. Judging the character of the salesman (or woman) is more important than judging the quality of the car. Ask if they will take you on a test drive first, that way you can tell how they drive the car.
3. Ask them before the test drive to not warm up the car. Pray that when you get there, the engine has not been washed and cleaned. Some leaks may take a while to appear, so you will not see them after (or before) the test drive. Conversly, some leaks may be made more evident as well. Given a dirty engine, check for fresh leaks. Just because you see oil doesn't mean something is leaking. Something may have leaked once and been repaired, or oil may have dripped from an oil change. Use your best judgement.
4. Ask A LOT of questions. It is almost impossible to discourage a seller from selling you his car, even if he doesn't like you. He just wants to get his car sold. When asking him about a concern you have about the car, pay just as close attention to his answer as the way he answers the question. If he pauses, or says something along the lines of "not that I know of", it usually means the poorer choice of the two answers (yes or no). TAKE NOTES! You don't want to forget anything he tells you about the car.
5. Take it for a loooooooong test drive. Don't tell yourself you like the car off the bat. Try and find stuff wrong with it. Don't try too hard, but you know what I'm getting at. Write down any shake/rattle/squeak/etc. that concerns you. Bring this to a mechanically inclined individual for insight.
6. Understand that ANY old car is going to have at least 1 thing wrong with it that you should be able to find, and at least 1 thing that you will find wrong with it after owning it for a while. You WILL NOT find a perfect car, period. Adjust your budget not to what you can afford from what you know, save another $500 on top for the unknown.
7. When you're done with the test drive, check again for any leaks. Check the oil color. See if he will let you pull the spark plugs, and check for color again. If you are satisfied, only display part of your satisfaction. You want the owner to know you are actually going to consider this car, but you don't want him to think you are head over heels in love with it (unless he states that the price is absolutely positively firm). Doing so correctly will help you with bargaining.
8. If you had found any issues with the car that the owner did not address, call up a shop and get a quote for fixing it. Then, print out the kelly blue book, nada, edmunds, etc. Use all of this to your advantage when you bargain.
I'm probably forgetting something, but that pretty much covers the general stuff. I don't have experience with Honda's, so I can't fill you in about their common problems. I do know that their most common issue is them being driven by ricer douchebags. Unmolested Honda's are very reliable, while modified ones aint gunna serve you any better than a Saab. My buddy's turboed '00 civic has thrown a rod, and blew a transmission (both at separate times) in the 3-6months that I have known him. There are plenty of other similar horror stories.
Good luck, and keep us updated on your progress!