@NewRevolution:
Since you're new here, let me give you a bit of background... the amiga is currently split into two subgroups, one is the group that favours the Morphos/Pegasos solution (as Downix mentioned, he leans that way) and the other favours the AmigaOS4/AmigaOne solution (I lean in that other direction, but am just a prospective customer). The split basically got created because people got tired of waiting for an new Amiga.
First was Morphos, this started life as the OS for an Amiga that never saw the light of day (the Pre/Box IIRC). A few years later a company (which would become Genesi) started work on another Amiga successor, and decided to use Morphos instead of starting from scratch. At the head of this group is someone called Bill Buck, he is the CEO (I think?) of Genesi, and sometimes posts using the handle "bbrv". Genesi basically grew from the well-known expansion card company Phase 5. The Pegasos is a PPC motherboard designed by Phase5 engineers, but because of a dispute over hardware bugs with MAI Logic (the makers of one of the core chips in the Pegasos), only 600 were made. Most were sold, but there should be some stock left though. A second-generation Pegasos has been announced, which uses chips by a different manufacturer.
On the other side, there is a trio of companies: Amiga Inc, Eyetech and Hyperion Entertainment. Amiga, Inc was formed by a few ex-employees of Gateway (the "cow" computer company), which bought enough intellectual property rights from Gateway to be able to sell "amiga" branded machines. Its CEO is Bill McEwen, and its CTO is Fleecy Moss. They are involved in two things called "amiga": the Amiga DE, which is a Java-like technology that should let you run the same binaries in many devices. It's taking some time to catch on. The other is the Amiga as you remember. Amiga Inc is a very small company, so they decided to license the "Amiga" brand name to others to make hardware and software. Eyetech is a UK company that also sells Amiga addons, they signed up to sell new Amiga hardware (the CEO of Eyetech is Alan Redhouse). After some time and false starts, they decided to sell a modified version of the MAI Logic "Teron" motherboard under the name "AmigaOne". The operating system (AmigaOS4) is being developed by Hyperion Entertainment, a Belgian company. Hyperion's CEO is Ben Hermans and the senior developers behind OS4 are a pair of identical twins called Hans-Joerg and Thomas Frieden. AmigaOS4 has been in development a little under two years, and has had its first public demonstration this weekend.
Now for the fun part: both groups are bitter rivals, and the source of many flame wars here and at
www.ann.lu (another amiga chat site). The reason I did all that name-dropping above was because the corporate officers of these companies, who really should know better, often drop in during these heated exchanges.
A nasty side effect of this rivalry is that the OS you choose to run determines the hardware you buy - you won't be able to run AmigaOS4 on a Pegasos (Amiga Inc and Genesi can't reach a licensing agreement), and the MorphOS team may or may not want to support AmigaOne motherboards (since then Genesi might sell fewer Pegasos motherboards).
One interesting factoid: you might have noticed that the same company (MAI Logic) that made the chip that Genesi claims to be defective, makes the AmigaOne motherboard. The AmigaOne also uses the same chip (called the "Articia S northbridge"). Genesi (and its supporters) claim that the chip is hopelessly flawed, while Eyetech (and it's supporters) claim the chip just has a few harmless quirks that can easily be worked around in the drivers. There are plenty of very vocal supporters of both theories, but as far as I can tell, no uninterested party has definitely determined what the real deal is.
Bottom line: treat anything you read with a pinch of salt, even if (some might say especially if) it comes from one of the "big kahunas" I named above.
Other than that, sit down, have fun! :-D
[EDIT] I forgot to mention AROS... they are a third possibility, they are source-compatible with AmigaOS on non-68K machines (AROS can run on x86 PCs) and binary-compatible on 68K hardware. They have somehow managed to stay out of the fights, probably because they're open source and so no money is involved...