This is very hard to answer. The reason is because there has been thousands of anime shows made. The best advice I can give you is look at some of these websites. They have a lot of anime info and what they are about.
MyAnimeList
Anime News Network
These websites is the closest you will come to having a complete list of all the anime shows.
No , not necessarily but not all anime appeals to all viewers .
Gakuen Alice is the BEST!!! I also recommend Special A^^
No, but around 4am to 8 am they so some anime shows on cartoon network
Bulbapedia shows anime. They include Pokemon and many other anime shows that are available for all to watch and enjoy. They also have the Diamond and Pearl series.
I don't know about lists of animes, but Culture Japan is a great resource for cultural stuff.
anime shippuuden . com there are all episodes of anime shows ever mad
On anime fuel fool it shows all animes ever made
Pokemon came out with all these anime shows and games, so of course they will come out there first.
It is pretty popular and it is one of my favorite anime shows!
Totally Spies is an anime. manga are the actual comic strips, anime are the TV shows.
wikipedia
Their are a couple of anime shows with all girl bands. Here are some good ones: K-On, TMOHS, Kannagi, Myself Yourself, Rosairo + Vampire, and Angel Beats