I usually recommend watching the anime of just about any action-based shounen like Bleach or One Piece (if just because the action is often hard to see in manga form). One Piece in particular is one where I get super confused reading the manga, but once I watch the anime, the action makes sense. Also, the seiyuu for that show are fantastic, so it’s worth it just to watch their acting.
The problem with anime, though, is that you often get filler episodes (that is, storylines or episodes that aren’t in the manga). Some range from okay to pretty good, while others are downright awful. Filler episodes often come with poor animation, in my experience.
As for the series you listed…not sure about the first two, but I didn’t really like the anime of S-cry-ed. Haven’t read the manga, though.
As for great anime, I recommend Monster. It’s a very dark, very creepy drama, with an incredible story and fantastic characters. It’s on SyFy now, but it’s nearing the end of its run, and the story is pretty complex, so I’d recommend watching it elsewhere first. The manga and the anime are virtually identical, so don’t worry about missing any story if you just catch it in one form (though here, too, the voice acting is superb). It’s long (about 74 episodes), but it’s worth it.
For something even longer (like, 400+ episodes), there’s always One Piece (the series I mentioned above). Seems like a silly little kiddy show, but it’s really quite thrilling and even emotionally heavy sometimes. There’s a lot of comedy, but there have been episodes where I’ve cried buckets. Again, LONG, but it’s one of those rare 100+ episode series where the story actually gets better the longer it gets. If you watch an English dub of this series, do not–I repeat, DO NOT–watch the dub made by 4Kids. (It’s getting rarer to find anyway, so you might not even run into this issue.) Everyone thinks fans exaggerate when they say how bad it is. They absolutely do not. It really is that horrible. (A newer dub by Funimation exists, which is much better.)
And, of course, Cowboy Bebop is always a great series. You MUST watch the anime, though, the manga doesn’t even begin to compare. (And, though I normally don’t recommend this, you MUST watch it in English. From what I hear, even the series’ creator preferred the English version to the Japanese.)
Whew! That’s enough for now. There’s a lot of great stuff out there, though, if you know where to look.