If it's like Flash CC, go to File>Export>Export Video...
That should make a .MOV files for you.
If you want a image sequence for .PNG, .JPEG, .GIF, animated .GIF, or make a .SWF video, you can go to File>Export>Export Movie...
Movie Explorer was only available till Flash CS6 and has been deprecated since Flash CC.
I used Movie Explorer a lot when it was around! But, I've since grown to like the Find and Replace panel, it can achieve what the Movie Explorer used to give you.
Not sure what question you're asking, but if it's why was the movie explorer dropped, a lot of features were dropped when Flash Pro was rewritten to be a 64 bit application. Many of those came back since, but not movie explorer.
I should open it up again some time, to see what it was that I used to use! Is there anything that it did for you that you miss? Adobe do have a feature request page, where you could ask for it to come back.
Thanks for the info about this. You are right that I am querying Adobe's logic in getting rid of features.
I do not currently work in Flash/Animate as we have been working with Adobe Edge Animate instead. However, as it is now coming back as Animate CC the main supported interaction/animation application; I found myself troubleshooting a student project and identifying objects by name rather than by selecting on stage is what I wanted to do.
From my view it looks as much as if say adobe scrapped the Layers pallete in InDesign say. You can still work without it but why kill something as useful as that ?