Don't you love having a bitcoin address that starts with a name, something pretty, or just something that suits you? You can find them yourself brute-force using vanitygen, or I can make one for you.
How about 1Pretty3icg1......?

Limitations

• All addresses start with 1 ^(one)
• Most characters are allowed, except for l ^{(lower case L)}, I ^{(upper case i)}, 0 ^(zero) and O ^{(upper case o)}. You can replace these characters by something else, 1HiDE would be possible, or 1HeLLo
• Finding an address is based on computing power, and luck. There are no guarantees
• Difficulty increases exponentially with prefix-length
• Addresses starting with upper case are (usually) much easier than lower case. 1Loyce takes the same amount of time to find as 1oyce
• A 1 ^(one) is extremely more difficult to find than any other character, so 111111 would take a couple thousand times longer than 1Loyce
• 4 prefix characters are easy to find, 5 is okay too, but 6 (case insensitive) is the limit for this giveaway (and please don't ask for 111111, it is not possible)
• 7 prefix characters is too much for this giveaway, but I can make you an offer if you post your request.
• I can only create uncompressed legacy addresses (for now).
  

Instructions
I can just create an address, and send you the private key. This means you have to trust me, my computer, my cat, both our email clients, and by definition it can no longer be used for cold storage. So let's not. Instead, use split key:
Step 1: Goto https://www.bitaddress.org/ move your mouse/type in the field until it shows 100% and wait a second.
Step 1.5: Optional but highly recommended. Download the page, verify the download and run it locally^*.
Step 2: Click Vanity Wallet click the Generate button next to Generate your "Step1 Key Pair"
Step 3: Reply to this thread with your public key and the prefix for your address. Save the private key somewhere safe. You will need it later when I generated your partial private key. Also, let me know if your preferred prefix is case sensitive, or any case is okay (the latter is much faster)
Step 4: Once you received your partial private key, go back to bitaddress.org and click on Vanity Wallet.
Step 5: Go to step 2 Calculate your vanity wallet. In the first field put the private key you saved and in the second field put the partial private key I gave you. Click Add and Calculate Vanity Wallet
Step 6: Copy the Vanity Private Key (WIF) and import it into your preferred wallet.
Credits to shorena for most of these instructions!
If something doesn't work as expected, have a look at this example.

Bonus
Tag this address on blockchain.info, so it shows up on blockchain.info with only the prefix instead of the full address. I have done this for 1foreverDArUNEX2gVD26vautcx3b8zTZ.

SegWit
DarkStar_ offers the same service, but for SegWit vanity addresses. See here for details, you can post your request in this topic.

What wallet to use
You can use any wallet that can import a private key.
Possible:

• Bitcoin Core: Click Help > Debug Window > Console > Enter: "importprivkey"
• Electrum: Create a new wallet to import a private key
• Mycelium (Android mobile): Slide to ACCOUNTS > click "key+"-icon
• Paper Wallet: DO NOT use bitcoinpaperwallet.com (Warning! It's a confirmed scam since the site is under new ownership!)
• Paper Wallet: Print it directly from bitaddress.org > Wallet Details, or create some artwork yourself (take safety precautions printing offline^*)
• MultiBit Classic: Click tools > import private keys (from file) (thanks poptok1)
• MultiBit HD: Use this method from Timelord2067 (thanks poptok1)
• Blockchain.info: Go to Settings > Address > Import addresses (thanks faysher)

Not possible:

• Coinbase: This is an exchange, not a wallet. A wallet means you own the private key

Why
Why do I do this? I like it! I've been making vanity addresses for a while, I now have more than I can ever use, so why not give them away?
I hope this will be a nice long-running giveaway, but I feel the need for a disclaimer:

Disclaimer
I offer no guarantees whatsoever, I can deny any request that would take too much computing time, and I can stop or change this giveaway at any moment.
Just to be sure everything is okay: test importing the private key before funding the vanity address.

New thread
After 11 months, 13 pages and more than 9000 views I've closed Pretty Addy Giveaway and re-opened this self-moderated thread. Now I don't have to facilitate "I don't understand"-posts spamming the forum. Questions are welcome of course, but not from people who don't bother to read this.

Donations are welcome: 1foreverDArUNEX2gVD26vautcx3b8zTZ (Balance: )

^* Download and use offline. Use for example Ubuntu or Knoppix from a LIVE DVD without ethernet/Wi-Fi

My public key: 04CD615FDBD2E80C8207D648D4C3F2957DF587F687275B86344212F4B921C17DDE535140AA61891 597B05EFEA560D4FCBE6DAB1A634441B5EC903733B963DE613B

my prefix 1BuScU

thank you

Public key : 049F84127BB8401CD68DEB5FC063489EA14E0D16803B88594F852B14C1B601502D2BD9CEF03E512 A761FD77EF78BB94DEF65FB47748C6FC9438A20405651D6C121

Prefix: 1Victor
 or 1JustV

Public key : 04E9ECAF146F468058DEF63A78DD12C5D1D13BFC571A5279EF451020E78C1F937DB498E8B331A88 4D90679373053972A12DEA59B453ACAD5DAE3680E458BCB50DA

My Prefix : 1LuCkY

This is so cool  , I have a choice which address i will use .Thank you for this LoyceV 

What a nice giveaway! I'll give it a try!

My Public Key: 049966AFED273B776DB02C83CF8EEB151853987EF470A7A63A721174E3E50003A6D75ED5E303FBF 10521011A1632A92C01C65B43F1FF6077FE8E64BEE1A2D3F03B

Prefix: 1Kumax or 1KumaX
(I prefer a case sensitive version)

Thanks in advance!

Wonderful! Thanks a lot, you are my hero!

I tried to do the "Bonus" part - to tag my addy on blockchain.info, but your link in the description doesn't work for me, I see only a blank page.

This is nice. Let me try.

1JasmiN or 1JassY or anything that can match with that.
Here's my public key: 04DF92FA7356245BBD550A04CDAF0887D38926E9873D775A85225847C9090640B3291A1A691454A DF862317990F1B8DDD14B52713FB833F2A000DFA072EA528537

Thanks!

Nah, this works perfectly fine! Thank you!

I got you both. You can use both, but if one were to get compromised, they both are:

Address: 1Ce18umeRbWBfuk9DywqWyfcMLTECANK6a (Balance: )
PrivkeyPart: 5KUvu6H8A5jHgnf4xABbEcoZgGtcWif2eToLyJKLZsk2y32ZTky

Address: 1MaLoh5UQLHxUmNcKb7muHJiDwF435Ljzv (Balance: )
PrivkeyPart: 5HsrZcY2pkBCJQDtXhzWEj9SburEyR4T4VU88CRtXifJ1JKFdoJ