Many special editions of the Dreamcast were released over the years, in a variety of different colours. However, every special edition Dreamcast that I've seen has had some other visual change besides just the colour.

Looking at the pictures, I suspect that your console has just been put into a replacement aftermarket shell. However, if the bottom half of the console is solid grey, and there's a pale yellow limited edition number sticker on the back, then you have a quite rare Code: Veronica (Claire version) console. I'm guessing that if the sticker was there, though, you wouldn't be here asking about it, as it's a real giveaway.

That being said, it still looks cool, but I don't think it's going to command an especially high price or anything. The controllers were always available in a wide range of colours, although it's funny that the beige controller on the right has the blue European swirl. I guess someone got a deal.

I have always wanted a Dreamcast, I do not even know what games I would want for it. At this point I am worried if I get one it will kill the illusion of how awesome the system isis.

Looks like an aftermarket shell. Ultimately nothing too special, not sure of the current going eBay price off the top of my head. What model does it say on the sticker on the bottom?

Looks like someone tried to make a bootleg Code Veronica Dreamcast.

Possibly just a modified Dreamcast

Here's a shell replacement that is very similar to your dreamcast