recommend me some good anime?

I'll start you off with some of my favorites.

Dance with Devils: Actually an amazingly well put together Action/romance anime. It's not full compared to other reverse harem animes. They have it in dub and sub.

K Project: Absolutely beautiful graphics. It's an action anime with some fantasy qualities with no romance, but it might come off a little gay with the two main protagonist guys. Maybe that's just me talking.

Durarara: I have yet to finish it, however so far it's amazing! From what I've seen on your list you'll definitely be satisfied with this. Another action anime that has fantasy qualities in it, yet backed up by science and mythology as well.

I thought these three were a good start for what you're looking for!

I suggest that you watch:

Pokemon (old episodes of Pokemon from the late 1990's and early 2000's)

Speed Racer (the old show from the 1960's)

Yu-Gi-Oh

Cardcaptor

Sailor Moon

No Game, No Life - about two siblings(?) who are NEET's , but are really smart. They get transported to a fantasy world of their dreams. It's strategic?

Steins;Gate - About time traveling and all.

Mondaiji-tachi ga Isekai kara Kuru Sou Desu yo? - Similar to SAO with all the fantasy world.

Accel World - Mecha with fantasy world(?)/game thing.

Magi: The Labyrinth of Magic - a world that uses magic(?). They have the 3 duo team thing.

Re:Zero - Subaru the MC, gets transported to another world.

Log Horizon - Apparently this is better than SAO, though thats their opinions. It starts of slow but becomes better.

Btooom! - A survival 'game'. similar to Shingeki no Kyojin(Attack on Titan) with the whole surviving thing. It actually aint really a 'game'.

Kiseijuu (Parasyte) - Another anime series about surviving. Alien looking things involved and a lot of action/fighting scenes.

Hataraku no Maou-sama (The devil is a part-timer) - A lot of comedy involved. Supernatural/demon stuff happening.

Nanatsu no Taizai (The seven deadly sins) - Basically the story revolves around finding the seven deadly sins and getting their help.

Tokyo Ghoul - I guess it involves surviving against other ghouls and humans/people.

Yozakura Quartet: Hana no Uta - Supernatural stuff going on with demons and all. The humans and demons are co-existing but has a bit of a conflict??

Asura Cryin - More Mecha. People who use robots? and have these ghost people surrounding them.

Aldnoah Zero - More Mecha. People/Humans fight against alien people with the mecha bot things.

Beelzebub - A 'scary' dude who gets stuck with a demon baby.

Blood Lad - i honestly think you'll like this. Involves demon/youkai with two worlds.

Mahouka Koukou no Rettousei - People who use magic and battle.

Fruits basket

if you haven't watched inuyasha since you were like 8 then you should check out inuyasha final act its the final story arch completed as the old anime stopped before completion of it

also if you liked death note then you might like bokurano its about a bunch of kids forced into fighting giant robots if they lose the earth will be destroyed (if your not into mecha don't worry its more phychological like death note you slowly watch some characters go crazy)

Psycho pass is AMAZING

Owari no seraph- The story follows the story of a 12 year old boy named Yuichiroa. He lives in a world were a virus has spread and killed everyone except children 13 and under. Then vampire swarm the earth and claim it. Then they take the children underground to protect them from the virus. In exchange they must donate their blood. If they refuse or defy the vampires they will be killed.

Future Diary- This is about a boy named Yukiteru who is a loner and spend all his time writing a Diary on his phone. He also spends a lot of time talking to his imaginary friends Deus who is the god of space and time and his assistant Murmur. It turns out that these two were actually real. Deus gives Yukiteru a phone that tells him the future within a 90 day span. Deus also forces him to compete in a battle royal with 11 other people to decide who will become the new god of space and time. Each of the other contestants also have a diary that tells the future in a unique way. To win the completion you have to kill the other players and be the last one standing. If the winner is not determined within 90 days deus will die and the world will end.

Angel beats- This is about a high school that acts like limbo (A place between earth and the after world) for teens that have died. At this high school teens learn to let go of any attachments that are keeping them there. The main character Otonashi is a boy who has lost his memory and ends up at this high school. He meets a girl named Yuri who asks him if he would join the Afterlife Battlefront. Its organization that she founded that fights against god because of the unfair lives they had. Their enemy is a girl with supernatural powers named Angel.

There are a lot of good anime here's some of my favorites

>Mahouka Kouko No Rettousei - always recommend this first because its awesome! and Tatsuya is super OP

>Log Horizon S1 & S2 - just like SAO its about getting trapped on an online game and trying to survive but they're more into adapting and living in the game and less trying too find way out

>Darker Than Black S1 & S2 - Awesome action filled anime and great story though the 2nd season is unfortunately kinda disappointing but still entertaining

>Kiseijuu: Sei no Kakuritsu - the story is very interesting and intense you wont be dissapointed

>Dungeon ni Deai wo Motomeru no wa Machigatteiru Darou ka - another must watch, the story is just awesome the character development is great and you will love the characters unfortunately there are no 2nd season!! yet...

>Mondaiji Tachi Ga Isekai - the main character is epic you will love them and the story wont bore you at all

>Gate: Jieitai Kanochi nite, Kaku Tatakaeri - story revolve around Itami a lieutenant on JSDF discovering a whole new world with his new friends, you will love this anime!

>Gintama - a comedy anime if you've heard it already yes it's hilariously epic! you must watch this you will laugh till your stomach hurt

>Mirai Nikki - a great suspense shounen anime the story is good and entertaining

>Steins Gate - another epic anime, the story is just very very good full of suprises and mystery, you must watch this at all cost

>Campione!! again another epic anime and you will learn a lot about greek gods here, so entertainment and education in one!

>Monogatari series - it has a unique animation style the story is great and the character is lovealble!

here is the anime order, Bakemonogatari > Nise > Neko > Second Season > Hana > Tsuki

>Ansatsu Kyoushitsu - lets go assassinate our alien teacher they said it will be fun they said... well it really is!

>Black Lagoon - another action filled guns blazing and explosion everywhere anime you wont be bored

>Hataraku Maou Sama - great story filled with action and comedy and a hilarious demon lord

>Ichiban Ushiro no Daimaou - another demon lord main character or at least going to be a demon lord

>Yuusha ni Narenakatta Ore wa Shibushibu Shuushoku wo Ketsui Shimashita - this one is following a former hero and a cute demon lord working together on an electronic store

there we go have a good time watching!

Watch Candy Candy

It's old but I grew up watching that series. The composers are amazing and Takeo Watanabe is a genius!