Kraken exchange that I know was alive in that year but I don't know if they giveaway BTC before if you are looking for other companies or exchange that was alive in that year 2011 check this list below.

- https://en.wikipedia.org/wiki/List_of_bitcoin_companies


Why not just provide your documents to Microsoft instead just to get the information you need about this exchange or site that you use where you receive giveaways?

I'm sure if ever you found that site or exchange you still need to provide the old email you use and they will send authentication to make sure you are the rightful owner. If you don't have access to your Email there's no way to recover them if that's the only thing that you provide before.

Hmmm, no one is into sorcery here -- atleast not the peeps I know here, not even myself... How do we get to know which site you were given 'em coins? Yeah, back then, there were alot of sites in operation but only few did stuffs like this ....
Secondly, what's the essence of trying to login your email if I may ask? Don't tell me you're tryna claim some audio Bitcoin that weren't shown much concern when awarded until now, is it? Cus virtually everyone HODLing much BTCs in the system got some as you did too; they weren't as careless as you to have gotten it in their control until now, No...that wasn't the case.
The only thing you'd do to save your ass (if only it works) is to try recovering that OLD email, except maybe you added a recovery email back then, if not,  it's gone for life, just as you never wanted 'em at first. Good luck with that!

Sandra 🧑‍🦰

Best you can do is talk to Microsoft Support.  If you can not even log in to your e-mail any more, why do you think finding the website that gave you Bitcoin for free helps you in any way?

Am pretty sure over 90 percent of the Bitcoin promoting websites that existed back in 2011 are dead today.  I think looking for it is beating a dead horse.  Better solve your first problem first.  Gain back access to your account.

-
Regards,
PrivacyG

The website giving the bitcoins doesn't matter much after that many years.
If you withdrew those coins into your own wallet - which I expect you didn't - then you should have the private key or a wallet file at least.
If you've left your bitcoins in others' custody (at the same site that gave the bitcoins or another) - which I expect you did - those have most probably spent your coins (in a way or another) long ago and the service no longer exists.

So, did you left the money there or you've withdrew into a local wallet or a non custodial web wallet?

There were some sites that gave away bitcoins, they were the so-called faucets, but I think many will have closed and will no longer be available.  Is this particular one you mention still active?  You write that you have a verification problem with your Microsoft email but if the problem depends on your email and the site is still active then you should write to Microsoft support otherwise if I misunderstood I ask you to explain better what your problem is.

There's nothing if you'll try contacting them but I have a doubt that's already gone together with the website. 
Because usually, the Bitcoin website that has a faucet or Bitcoin giveaways was shut down and can't open anymore.  Not unless you have control of that wallet's private key so that you can able to recover the wallet even though the site itself was shut down.

Freebitco.in was the oldest gambling site that has a faucet since I'm new in crypto and I think before that was not a gambling casino.

Even if the site is still active, which is unlikely, and even if you had a few bitcoins in your account at the time, which were worth only a few dollars, it is unlikely that the site owner would have left such an amount of money in a dormant account for so long. It's worth noting that the value of 1 BTC soared to over 60k USD in 2021. So that money is most likely gone long ago.

Exactly, even if that site is alive the chances are almost zero as things have changed in the last 12 years. When OP got those free bitcoins, it was worth less than 1 dollar, and now they are worth hundreds of thousands of dollars, asking the site to pay for those bitcoins will never happen.

OP, those bitcoins were once in your possession, but since you don't withdraw them to your non-custodial wallet, if you can find them again, they will have no reason to pay you. Their value has changed a lot, no one gives you hundreds of thousands of dollars for free.

Even in 2011 there are multiple scam sites that trick people into thinking they are getting free stuff including bitcoins AFAIK, but I get that there's no hurt in trying so maybe ask Microsoft Support if they can helpcyou get a hold of that email adress once again so you can access the site. That is if the site is still active to this day which I highly doubt given how many crypto aites have gone under the radar in the few years bitcoin has been in circulation. Then again, just try, who knows, things may go in your favor after all.

To be honest in 2011 most of crypto related website gift a free bitcoin, although I joined bitcoin in 2014 because there is dozen faucet that give u free bitcoin and its a lot can be farmed at that time.

Try open your browsing history if your computer still exist and back in 2014 Im using wallet from blockchain.info and coinbase maybe you can check there aswell