Replacement for Quicken 2007
Solution 1:
iBank from IGG software is available in the Mac App Store, and has been a great replacement (and upgrade) from quicken. It also includes direct Quicken import.
They are also running a 'Spring Break Sale' That will take off 25% if you are currently using Moneywell, Quicken for Mac, or Quicken Essentials.
Solution 2:
In an attempt to replace Quicken 2003 for Windows, I ended up on Moneywell. It has a companion iOS app which allows me to enter transactions on the go and sync via Dropbox.
It isn't perfect, but I like it.
Solution 3:
I looked at a number of alternatives before concluding that there isn't an alternative as comprehensive as Quicken/Windows. You are going to have to choose between sacrificing some functionality with a native Mac app (hoping for future updates) or running Quicken Windows under Boot Camp/VMware/Parallels/Virtual Box.
iBank is another alternative although Moneydance seems to win most of the time when people compare them (hating the Moneydance look all the way).