I've neither seen nor heard of it previously, but if your route into anime if Miyazaki I'd be wary of this. Anime tends to fall into one of a number of groups and I this one is a long way from Miyazaki.

This anime falls into the 'shounen' category, described on anidb.com as:

Quote:
A style of anime and manga intended for boys, characterized by high-action, often humorous plots featuring male protagonists. The camaraderie between boys or men on sports teams, fighting squads, etc. is often emphasized. Unrealistically attractive female characters are also common (see fanservice), but are not a requirement. The art style of shounen also tends to be less flowery than that of shoujo.

Try these websites to look for other anime with similar categorisations to get an idea:
http://anidb.net/perl-bin/animedb.pl?show=anime&aid=4917

http://www.animenewsnetwork.com/encyclopedia/anime.php?id=7490

I think that I'd be more inclined to recommend one of the tried and tested classics in this genre, such as the Tenchi Muyo Rhi-Ohki OAVs (013023-017498) or El Hazard OAVs.

Of course, you want other opinions, but that's my first impression.

Stuart

Here's the official website of this series, called Hayate no Gotoku in Japan:
http://hayatenogotoku.com/

Be forwarned that it's a series aimed at otaku, so you know you risk destroying your social life just by looking at it.
Actually, it's funny you should mention series like Dragon Ball and Inuyasha, because these tend to be the 'socially acceptable' series in girls' eyes whereas series like Hayate no Gotoku tend to be labelled as Otaku territory.

If you like Miyazaki's works, I don't think you'll find the same magic or style in Hayate no Gotoku. I believe (personal opinion) that you would be better off then with OAV's like
Paprika
Skycrawlers
Toki o kakeru shoujo
Byousoku 5 centimer
(photogalery)
Brave Story
etc

Going by the titles you've mentioned, I would divide them into 3 groups:
- anime mass produced for children/adolescents : Dragon Ball, Inuyasha, Naruto, Yuyu Hakusho, etc
- anime mass produced for otaku (I tend to avoid like the plague) : Hayate no Gotoku, K-On, etc
- anime produced as an art-form with attention to details and a deeper story adults and children can enjoy : every Miyazaki / Studio Ghibli work, the titles I've suggested (Paprika, etc)

To each his own of course and that's just my opinion, but it might be worth to first look into things a bit more, click some links, before deciding in which anime to invest.

Oh, I forgot, there's a 720p trailer for Byousoku 5 centimeter. It seems like a nicely done OAV, a collection of short stories in anime format. I have it on my Blu-ray wish list:
http://5cm.yahoo.co.jp/teaser/index.html
Just right click on the link that says "8M(1280×720)" and select save as to save it on your hard disk.

If you like something serialized, non-violent, love-story with comedy elements, then I can wholeheartedly recommend Maison Ikkoku, a classic by Takahashi Rumiko (the author of among others Ranma 1/2) :
The story is about a young widow, who tries to continue her life without her husband as the owner of a small pension. All the tenants are rather whacky except for one young man, a beginning shool teacher. Little by little a romance develops between them, with funny complications:
Opening theme

A drama series was made out of it as well:
http://www.tv-asahi.co.jp/ikkokukan/

My wife used to love that series when she was a little girl and to this day still likes it.