Quote:
Originally Posted by
Lel 
HunterXHunter (Manga) - So sad that the quality took such a dive, it was another shounen series I rather liked a bit. But as the story went on it seemed to drag, artwork quality took a dive, and it felt like it was going nowhere. Still pretty good up until the Greed Island arc.

Regarding the quality of the chapters, I'm told that they really fixed it up for the volume releases. As I don't read manga, I can't be certain. I can also only recommend anime too, so:
Fullmetal Alchemist (FMA) to replace HxH. By all accounts the manga is really good. For anime there was a series released several years ago at 51 episodes long, and half way through created a new storyline which was different to the manga. There is a new series currently being released called Fullmetal Alchemist: Brotherhood, which is starts from the beginning again, but will follow the manga faithfully.
Death Note to replace Monster. Since you've already started I think you should finish. This in the only series I've read the manga for, and I think the anime version is better. 37 eps.
Claymore to replace Berserk. I didn't think much of the series, and I have not seen Berserk, but I think people refer to it as Berserk-lite. The two series seem to be grouped together quite a lot, and the manga is considered much better than the anime. 26 eps.
Baccano! to replace Cowboy Bebop. I found the two very similar in style, although not in story. Very much under the radar, so you won't suffer from the hype issue you had with Bebop. 13 eps.
If you say what you liked about Fruits Basket, maybe I can make a shojo suggestion, but probably not since my experience in those shows is very limited. Maybe along the lines of "by all acocunts I'm told you should watch x..."
Other suggestions are
Mushishi as mentioned earlier. Great visuals, single episode stories. 26 eps.