Israel Railways runs the new modern railway system in Israel. They are building new routes and their service is similar to many European train services in terms of reliability and quality. Their site has information on schedules and fares in English. The English site also has a downloadable list of their schedules. More information is available at: 03-5774000 / 04-8564444

If you are looking for a similar service to Mapquest in Israel take a look at e-Map, a great service gas that has on-line maps of Israel. It offers the ability to view maps with seperate layers that can be turned on or off that show locations of gas service stations,  bank ATMs, health facilities.