Originally Posted by
Endus
Budget doesn't make up for writing. And if you think the Doctor Who story is "childish", you haven't delved very deeply; the show touches on pretty much every imaginable issue, from self-will to the morality of genocide. Is it weird? Sure. That's a large part of the charm. What you've gleaned is just the greasy film on the top, not the delicious meat pie within.
For instance, the TARDIS isn't "a telephone booth that's larger on the inside". It's a space-timeship. What you see on the inside is the TARDIS. What you see on the outside is the disguise, a disguise that is not just visual but also kinetic because the TARDIS' engine can manipulate spacetime. And the disguise circuit's broken, which is why it's stuck on "police box".
Doctor Who is basically the necessary end result of Clarke's famous quote; "Any sufficiently advanced science is indistinguishable from magic". Most science fiction tries to keep the technology somewhat within our grasp, so it doesn't look like magic, but Doctor Who throws that out the window and says that humans are barely getting their toes wet and the 20th century is quaintly adorable but really quite clueless about pretty much everything.
You need to recall; the Doctor is a genocidal time-traveling godling. Humans are usually safe because he likes humans, but he exterminates entire species as a matter of course. And he's fully aware of the cost to his soul in doing so. This is not a childish story. Don't confuse it for one because it's occasionally silly and has bright colors.