How does roll and move affect games like Talisman?
Roll and move is obviously there to create randomness.  Talisman is all about randomness, you never know where you're going to go or what you're going to draw.  Having more control over that introduces a lot of balance issues, because there are spaces that are not meant to be visited over and over again.  Of course, there are a number of Talisman cards that do give you more control over where you are moving, but they are all "temporary" in the sense that they can be stolen, destroyed, etc.

The biggest issue I would see with one move at a time in Talisman is the impact on PvP.  Some classes are designed for fighting other characters, while others are designed to avoid such fights.  With one move at a time, there would not be a way to escape other characters, so you'd need to introduce other ways for characters to get away from someone else.  Even with that, there would still be the potential to "grief" people by "camping" at a location that you know they need to get to.