Can telescopes capture images of planets in galaxies millions of light years away?

Not yet... The furthest exoplanet *detected* - (not necessarily imaged) is about 2,500 light years away... detecting planets in other galaxies is beyond our capability at the moment. 

Probably not, any planets that far away would be so dim they wouldn't be visible in any current telescopes.

Even in our own galaxy, exoplanets still only appear as tiny dots of light.

No.

Telescopes can't even see individual stars in galaxies except the few closest galaxies. The vast majority of galaxies only look like small fuzzy blotches of light on long exposure images.

Don't be silly. That's far too distant.

No. Telescopes can't even see planets of nearby stars. We can only see planets in our solar system. 

No and it is very difficult to spot a planet around a star that is nere  us

Something like HST can. My big scope can see some of the most distant galaxies, just a faint fuzzy speck mind you. As for exo-planets, no, but logging a host star intensity, I can spot the dip with an eclipse.

Scope is a 300MM X f2000 RC concept.

No. we detect those planets by noticing differences in the amount of light coming from their stars

No because they are too far away

Not even Super Jupiters

 Plus their Stars are too Bright