I don't watch much anime and the ones I've seen, everyone's seen.
I don't like anime that...
1. Are too weird (even funny weird sometimes)
2. Have tons of fanservice
3. Have lots of romance
4. Take place in a world full of women who all like 1 guy (harem anime are just the creator living out a fantasy through his protagonist...)
That being said...I've only watched and finished 8. Any others I've watched were usually just because someone else in the room was watching them and I only saw a few episodes.
If I leave out DBZ and Yu Yu Hakusho, seeing as I mainly like those for the nostalgia factor, that just leaves these 6...does this even count lol. Am I allowed to be here? Anywho...
In order from "BEST THING EVER" to "Was Okay"...
1. Fullmetal Alchemist: Brotherhood - This is literally my favorite tv series. Like...not just anime, but tv series in general. Best. Ever. Holy crap.
2. Attack on Titan - Arda said it pretty well...although I think this says it best:
First part of episode 1: Alright, let's see what everyone's so excited about...I guess this is pretty good.
Second part: Damn...
Rest of the series: Damn...
Halfway through: WHY CAN'T I STOP WATCHING!?
End of what's out so far: HOLY CRAP WHY IS IT NOT DONE YET!? I NEED MORE!
3. Fullmetal Alchemist - The far INferior original anime. Brotherhood is a remake and follows the manga much more closely. It was created for the same reason DBZ has tons of filler: The manga wasn't getting done fast enough for the anime to keep up.
While this is really freaking good, it's not nearly as good as Brotherhood and the story is hard to follow. The ending is kinda meh and I didn't know about the movie until I was finished with Brotherhood, so I never saw the real ending.
It's the first show, movie, game, or book that wasn't about a dog that made me shed even a single tear...but it almost happened a second time when I watched that funeral again in Brotherhood. "Why are they burying Daddy? He has a lot of work to do and he can't do it if they bury him! DADDY!" T.T
4. Dragon Ball - This is on the list and not Z because I actually watched the whole thing and enjoyed it, while I kinda grew up with DBZ and like it mainly because of nostalgia.
5. Trigun - This isn't higher, partly because, I later found out and kinda figured that, important parts of the manga were left out of it. It's just...kinda fun I guess lol.
6. Sword Art Online - Everything above this is a lot better. SAO was mostly just disappointing. I started watching it after being told it was amazing and started to believe it after the first episode. (which is literally the best one)
...It all went downhill from there. This includes some of the things I hate to see in anime (and anything really): Weird, out of place, fanservice and a harem.
Every single girl in the world likes Kazuto...even his freaking cousin. It's weird.
It has a stupid ending that lasted like 11 episodes, all of which ruined Asuna as a character, making her a "damsel in distress" rather than a badass and the only character I actually liked...at first...the first part slowly ruined her too.
The actual SAO part ended too soon and seemed like it was rushed...
Episode 4 shows that the creator is a pedophile...
But other than that I enjoyed it. I wouldn't recommend it though and won't be watching SAO 2.
Edit: Crap, I forgot about G Gundam...oh well, not sure I'd put it on the list anyway. If you like Dragon Ball and Gundam and don't mind that it's a lot different from the other Gundam series', then it's okay lol.