There are a number of reasons why one would find the stars fascinating. However, how much interest is subjective and really depends on the person. Here's my personal reasons why the stars are interesting to me:
Everything that exists is the by-product of stars. You see when stars age they fuse into heavier and heavier elements all the way up to iron. Hydrogen, helium, carbon, oxygen, silicon, iron, all are by-products of stellar fusion. So the water you drink (hydrogen + oxygen), the air you breathe (oxygen), the sand upon which you walk (silicon), the metal in your car (iron), and the material you are made of (carbon), is the result of eons of seeding from the death of countless stars. Also, the gold which you adorn yourself with, the uranium used for nuclear power, comes from the collision of two super massive neutron stars the size of a city, where a single teaspoon of matter weighs as much as Mt. Everest. So it's not an exaggeration to say everything is made of the stars including you and I.
Stars are beautiful to look at. You can tell which stars are hotter and which are cooler by looking at their color. Blue stars stars are the hottest while red ones are the coolest.
Stars are a time capsule for us to look into the past. Because light only travels a finite speed, the farther away from Earth a star or other celestial object is the farther into the past we are looking. For example, my favorite star Betelgeuse in the constellation Orion, is about 600 light years from Earth. Since light from Betelgeuse left it 600 years ago, we are seeing it here on Earth as it was 600 years ago. The Sun is about 8 light minutes from Earth, so we see the Sun as it was 8 minutes ago. The Moon is a little more than 1 light second from Earth, so when you look up at the Moon you are seeing it just as it was 1 second ago. We can look back into the history of other stars to understand the evolution of our own Sun.
When a super massive star dies it explodes in a violent explosion called a supernova. The dying star becomes so bright you can literally pick it out as a single point of light in another galaxy amongst the collective light of trillions of other stars from that galaxy. My favorite star Betelgeuse is approaching the end of it's lifespan and when it goes supernova, it will be nearly as bright as the full moon, bright enough to cast shadows at night and visible in broad daylight. An event like this actually happened in recorded history almost a millennium ago. The Chinese referred to it as the “Daytime Star”. The Crab Nebula is now what remains of that dead star.
We can find exoplanets that are light years away from Earth by observing the slight dips in light of their parent star as the planet passes in front of it. We can also surmise the composition of the planets atmosphere from the spectra of light from the star the as it passes through the planet’s atmosphere. We can understand about how massive a planet is by observing the wobble of its tug on its parent star. We can understand details like these about planets outside of our solar system because of stars.
Finally, there are more practical reasons to be interested in stars. The Sun is the source of life and the reason for weather on Earth. Also, the solar geomagnetic storms can cause the beautiful Aurora (Northern Lights) on Earth but can also disrupt telecommunications and knock out power grids. For more information about the destructive potential of the Sun, type “the Carrington Event” into any search engine. If you are ever curious about why the government is willing to spend billions of tax dollars on space probes like the Parker Solar Probe, the Hubble Space Telescope, the upcoming James Webb Space Telescope, the recently deceased Kepler Space Probe, and the TESS probe, well now you have an idea of why those are solid long-term investments.