Rushed In Baldur's Gate
Solution 1:
The main storyline does not have a deadline.
Various sidequests do have deadlines. A number of possible party members will join you on the condition that you help them with a quest. You should do this reasonably quickly after they join you, or they'll leave to do it themselves:
- Minsc's quest
- Coran's quest
- Eldoth's quest
- Safana's quest in the Enhanced Edition, but not in the original.
- Kivan's quest in the Enhanced Edition, but not in the original.
- Kagain's quest feels like should have a time limit, but it doesn't. (And when you finish it, you'll find out why it doesn't.)
Every other sidequest I know of with a time limit makes it explicit (eg. "you'll be dead in a week").