The Sony MDR-7506s are a solid choice for tracking, and not bad for mixing if absolutely necessary. I like the way they sound; bright and a bit edgy but still pleasing. Sound isolation is decent, and they stay comfortable for long sessions. They're definitely one of my favorite closed-back headphones, and a bargain at about $80.
I also have a pair of Sennheiser HD280 Pros. They go for about $99. These are very good tracking cans because they have excellent sound isolation. But I've never been crazy about their sound. They sound "stuffy" to me. And they tend to wear tight and get rather uncomfortable after a while. Some people love them, though. It's just a matter of taste.
For good mixing, you really want open-back headphones. I have a pair of Sennheiser HD600s that I adore. These go for about $285 and are worth every penny. The open design makes them sound very airy and natural, offering detailed sound throughout the frequency spectrum. I understand they might be a little out of the budget you mentioned, but they're worth the extra cost, in my opinion. They're comfortable, lightweight, and accurate.
While it's true final mixing should usually done on studio monitors, you can get pretty darned close with a set of cans like the HD600s.