i started watching anime not that long ago and i'm hooked
my order has been this

attack on titan
the seven deadly sins
tokyo ghoul
death note
I'm going to start with death note, looks pretty good.

To start i recommend Naruto, if you want to jump straight in my personal favourite is Your Lie In April. However, many people say it is to 'gay' for a man to watch because of it has little to no action and has romantic scenes between the main characters, but a very nice story to tell.

Or try these:

One Piece (Sub)
Naruto Shipuuden - Do not watch this one until you watch Naruto.
Hunter x Hunter (2011)
Naruto Shippuuden
One Punch Man
Fairy Tail
Bleach (Sub)
Detective Conan
Sword Art Online II
Dragon Ball Super
Akame ga Kill!

A few of the best ive seen that arent that long are
Hunter x Hunter
Full Metal Alchemist Brotherhood
Attack On Titan
Also heard One Punch Man is very good

A few of my other favs are Naruto, Bleach and Sword Art Online is also decent

Well since you're going to start anime then watch the a couple top tier first to get into anime and then after that watch the others since you'll develope an interest. I got bored from anime after 1.5 years then started manga. Read a lot of mangas and now rarely find good ones. Now I've started to read web novels which I've been interested for now
I'd recommend watching

Death Note
Attack On Titan
Code Geass
Samurai Champloo
Tokyo Ghoul

For now I think this is enough.

It would been nice to know what genres you like and don't like (e.g. Ecchi,harem,tragedy,seinen etc)