As others have said, it's another form of media. I enjoy a good story and good characters and there are some anime series that are incredible and wouldn't work in live action for a number of reasons.

And as someone from the west, the cultural influences can often add story elements that would be outside of our norm of storytelling.

That said, there are so many genres of anime that do not interest me in the slightest. Just as there are many series of other shows that don't interest me in the slightest. There are many book series I have read that I would much prefer an animated adaption of. As an example, an animated adaption of Game of Thrones would have been really interesting, as they could have stuck closer to the outlandish elements of the source material, and not had to worry about casts aging or moving on to other projects.

Having grown up with Pokemon, Dragon Ball, Digimon, and many others, there is also a nostalgic element to this as well, which is why we will be seeing anime (and animated media in general) increase in popularity along with the generational shift in society.

To sum up, people that dislike anime usually fall into categories:

1. Animated series/films aren't to their tastes. This is perfectly fine, as long as they also feel the same about western animated series/films.

2. The stories don't interest them. Maybe the cultural influences I noted before are just a little too far outside of their comfort zone, and they understandably haven't actively gone out of their way to find something that does.

3. They've never watched anime, wont give it a chance, and consider it childish and immature. Closed minded and elitist (in my opinion).

But most importantly, all media is subjective, and someone else's personal opinion should not matter in the slightest to what you enjoy or don't. The Internet has given far too many people the false idea that their opinions actually hold any value.