Car won't start then after few tries it does new battery alternator starter good

Try this - next time it cranks but no-start.....watch the check engine light as you turn the key to the 'run' (NOT crank) position (hopefully in quiet area) and listen carefully for a 'click' at the same time as the 'check engine' light goes OUT. IF you don't hear a click , try again to verify , and if still no click , wait a few (10-15) minutes and try again , if you hear the click this time , crank it & see if it starts. IF it starts , replace the main relay (under dash follow ignition switch harness). IF still no click and no start , check for proper voltage to relay with key in run position.post results .

Check fuel injectors also could be a main switch intermittently malfunctioning

would need to know if not cranking over or cranking and not starting. possible starter issue if not cranking. you say starter good so I assume it is cranking. rec have it checked and hopefully concern can be duplicated

I had similar issues after replacing my thermostat, on the thermostat housing there is a small ground wire that if it is left off (or corroded and falling apart with ages as mine was) wont start, my vehicle would start intermititly as you have described and all I had to do was replace the end of this wire and the problem was fixed, just a sudjestion, its easy and simple to check this with a jumper wire to a good ground. best of luck.