Naruto game advice

So I have Rise of the Ninja and Broken Bond for my 360.

Is there any games that follow this? (i.e. they continue the story forward and play in a similiar fashion not just a normal fighting game but with a mix of the adventure aspect)

Short answer: no.

Long answer: there are no big adventure Naruto games other than those 2 for the Xbox. Some DS games are adventure games as well as the recent Naruto Shippuden: Dragon Destiny for the Wii, but that Wii game is basically filler story. Ultimate Ninja Storm 2 is a continuation of the real story, but its a fighting game basically (doesn't feel like it though, I would say those Naruto games you mentioned feel more like fighters than this one). Its also probalby the best Naruto game out now, play the demo.

Long answer made short: Buy Naruto Ultimate Ninja Storm 2

What about Ultimate Ninja Storm 1?

[quote name='Hell Monkey']What about Ultimate Ninja Storm 1?[/QUOTE]
It is a PS3 exclusive.

[quote name='eau']It is a PS3 exclusive.[/QUOTE]

Why does that matter for my question?

I'm pretty sure they do not follow each other, either way.

Yeah, they didn't make a sequel after Broken Bond. I don't even think Ubisoft has the Naruto license anymore. Namco Bandai does now and they just released Ultimate Ninja Storm 2 a few weeks back, it's gotten some positive reviews so that might be worth checking out, but it's a jump into the latter Naruto Shippuden eps.