Unfortunately, we're in 2013 no longer so it's pretty hard to buy coins without ID-registration as of today.
What you can do, however, is:
1. Register on
Blockchain info: You can purchase up to 300 dollars worth of BTC here via Mastercard or Visa without ID-registration.
As to ETH, you can simply exchange that for BTC.
2. Register on
Litebit.eu: You need to verify your Bank account, but you can buy all kinds of different coins without ID-registration.
One thing to keep in mind: When purchasing BTC or ETH, your minimum order should be at least 200 dollars
3. There’s also this site called
LocalBitcoins, I’ve never used it myself, but it seems to be quite good, if you know how to protect yourself against scammers (there’s an escrow for that). LocalBitcoins (depending on the person selling coins) has PayPal and credit card options.
4. And then there’s of course
VirWoX. I’ve also never used this site, but if you think the exorbitantly high fees and all that hassle involved are worth it, you can purchase your Bitcoin using this method.
5. Also, today you will find that depending on your geographical location, there are dozens of
Bitcoin ATMs installed around your place. Use coinatmradar to check whether one is available near you. One bit of advice:
Always FILM the whole process or purchasing coins at ATMs in case something goes wrong.
Regarding the question of fees: You always have to pay quite a lot of these, there’s no way around it. And while the fees for Blockchain info are somewhere around 3,5% for credit card puchases and still okay with Litebit.eu, for (3) to (5) the fees can get really steep!
You can also buy Bitcoins locally by simply meeting up with random people, all you have to do is browse
Ebay,
Craigslist and similar platforms. However, beware of scammers!
PS: I have recently registered on Twitter and I will be actively posting in future:
Stay tuned. You can follow me on: https://twitter.com/CryptowordsPro 
