Total loss of thrust would be the result of a catastrophic failure, maybe due to FOD or a major component breakage. Because engines are designed for this not to happen if at all possible, MTBF figures are not relevant. You are talking random events for which statistical failure rates are not applicable.
You may be able to look at birdstrike rates but that would vary by aircraft type and location, again not really MTBF though.
Most engine removals are for deteriorated thrust rating or EGT margin. Modern engines are getting towards 30,000 hours on wing and if I remember corectly the old Concorde Olympus were more like 300!