The stars of our own galaxy are always much brighter than the stars of other galaxies. Just as a point of reference, the Milky way is about 100 thousand light years across. The nearest large galaxy, the Andromeda galaxy, is 2.2 million light years away. All of its stars would therefore be 20 times as far away than any star in our galaxy.
Here's a picture of the Andromeda galaxy, for example:
The stars that belong to the Andromeda galaxy are mostly not even recognizable as stars at all. They make up the fuzz of the disk. There are also two satellite galaxies that appear fuzzy in the image. Most other points of light are stars from our own galaxy, with a few faint fuzzies in the very distant background that are other, far more distant galaxies.
Every other galaxy (and there are billions) is many times farther away, with the exception of the large and small magellanic clouds, which are satellites of the Milky Way.
This coincidentally, was the reason why up until Edwin Hubble in the early 1900s, noone was able to determine whether galaxies were nebulae or separate, distinct objects from our own galaxy. It wasn't until the construction of the 100 inch Hooker telescope and the later 200 inch Mount Palomar telescope, that anyone was able to resolve any stars at all from these galaxies.