My furnace will work regulary sometimes, but sometime it does not kick on by itself you have to turn the thermostat to off then back on and then it will run until it meets the tempature setting. But then when its time for it to kick back on it does the same thing. We have replaced the thermostat 3 times. We ran a new wire from the thermostat to the furnace we've replace the control panel or board. Nothing seems to work! Any answers

Sounds like the furnace is locking out, when you turn the thermostat off and on it just resets the PC board.
https://www.askmehelpdesk.com/heating-air-conditioning/heating-cooling-maintenance-repair-troubleshooting-frequently-asked-questions-58313.html#post268203
Gas forced air/Where is the diagnostic light?