Range of articulation is easy, most Figmas, S.H. Figurarts, and Revoltechs are comparable. The accessory count, however...that's the sticking point. So far, the closest I've seen to the Shinkis in terms of that, aside from a small handful of examples from the lines previously mentioned, is most likely going to be Frame Arms Girls, which goes along with the Frame Arms line they're connected to. Unfortunately, there's only one out currently (with the next on preorder for later this year), AND it's a model kit that you have to build, but it looks promising, if Adventwings shots over on his "Show & Tell" thread are any indicator. I think there's a thread around here talking more n-depth on the subject, though...oh, and welcome to the boards!
"Grab a shovel-I'm one skull away from a Mouseketeer reunion." -Bender
"I'm a triceratops balancing on a daisy with spinning wheels, baby!" -Dexter