Will the engine get damaged when timing belt breaks on a 04 dodge stratus coupe?
On the Stratus V6 which is an interference engine it will damage the engine if it breaks. On the 4 cylinder which is not an interference engine, no engine damage will be done. However it would stop the engine from running. And, if this happened at a bad time, and you got in a wreck, it could not only damage the engine, it could damage the whole car and you. The belt can break with no warning. Replace it according to the recommendation of Dodge.
If a timing belt breaks on a 99 Mazda 626 does the car automatically shut does the car to save the engine?
Yes and no, if the car jumps timing you could damage the head by bending a valve, but if you jump timing bad enough, the valve could scar the top of the cylinder head and that's a very very expensive fix, A.K.A. new engine, but to answer your question short and sweet, oh yeah, you will have exstensive engine damage. Hope I helped