It's a psychological thriller! It keeps you guessing all the way through and whilst there is actually little action, the characters and their intellectual battles are very appealing.

Death note was my first anime and it got me interested in anime in general. I hope it gets you hooked too!

It's a great introduction to some mecha and more importantly it contains a very good plot which follows both an interesting and complex character. The struggles and successes are illustrated with good art.

Yeah, same as above...

Absolutely fantastic. You want to watch this.

This is highly recommended. Humour, fantasy, and greatness. For a semi-slice of life anime, this is a must-watch!

Invincle siblings who are game against the world. Watch their genius unfold.

Dark, thrilling, provoking. 

I cannot recommend this more strongly.

Might be a bit too 'dark' for a first anime though xD

Like what I said for Parasyte.

Forgot to say that there's gore for both of them. Not quite as frequent as Attack on Titan but still a lot of gore when it comes.

Title says it all really - a great anime that delivers a lot of moral lessons in a classroom full of bloodlust!

Art is fantastic for this Mecha. The story is reasonable. Watch for the art and music XD

Season 1, in my opinion, is better than season 2 especially because of the characters are available and the storyline. Nonetheless, the 3D animation is quite different to the usual stuff and the action and constant turmoil makes it very memorable!

Just get on the hype train.

Beware of shock and horror (oh, and gore).

Do you like food? Well, if you do, then watch this (contains some ecchi, fun characters, and awesome dishes).

Well, it seems like nothing is going on really but then there are too many mysteries and characters to keep you watching...give it a go!

Not much action but there's comedy and it's a nice ending :P

A fantastic historical anime with plenty of action (fast-paced) and great plot development.

Fun, quick-paced, and lots of actions! Fantasy mixed with the modern world!

One of the best sports anime out there.

Nothing really happens for this 'God' but there's plenty of humour and depth to the characters!

Yeah, get on this hype train too.

...and this one.

Survive in a 'world' where you're both the hunter and the prey!

This is light - good fun with engaging character relationships.

Underrated but a very fun and light-hearted anime

Can you run a theme park? Our protagonist here can :P

Not as good as Kuroko, as you don't get that teamwork but still a very engaging anime

Another historical drama but this one is humour-based. It's good.

Funny.

Probably a little too dark for your first anime but at least you would certainly remember it, right?

Get ready to fall in love with the characters and watch their paths unfold before your eyes (if you can see past the shock, fear, and tears).

Keeps you hooked. Quite a novel plot.

Nice adventure/fantasy anime that keeps you engaged!

You know, like resident evil and that stuff but an anime. What more do you want?

Eyes on the screen please.

Like Kuroko, but volleyball.

What happens when you can live forever - well, you get tested on.