I used Quicken for 12 years. Loved it. Never liked Money. It was slow to load and crashed a few times, losing all my info.
That said, I switched to Mint about a month ago. It isn't perfect, but we switched for two main reasons:
1. I can access all my info from my Android phone (has a great iPhone app too) and so can DH -- which is nice because before he was kind of clueless, Quicken was on my computer and I had to print out reports for him which weren't up to the minute. His car broke down, he checked Mint on his Hero, and he was able to say, yes we have enough money budgeted for the repair. V v cool!
2. I like the budgeting features. It sends alerts to my Gmail account when we go over or are about to go over. V helpful.
What I would change:
1. It is free, so they advertise to you. Since we're debt free and don't do credit cards, it is constantly trying to suggest "ways to save" which are really just credit card scams to get you so-called "free money." Yeah right.
2. It doesn't automatically access all of our accounts, so I have to do some stuff manually (like our mortgage). But I am guessing this will change over time as it becomes more popular. I'm hoping there will also be an ad-free subscription version. I'd be willing to pay $5-10/mo for the service as long as it is robust and stable.