A better question would by why would anyone store anything of value with a website they do not trust?
[1]:http://www.npr.org/blogs/parallels/2013/10/28/234587002/for-...
Bitcoin as a protocol and technology proved itself to be rock-solid. People are already using it all around the worlds for many different purposes, from storing their wealth to buying subs in Subway. On the other hand, there are some Bitcoin services that are can be used to store your Bitcoin that are not exactly very secure or trustworthy. Most people advise against storing your Bitcoins in such services, as it has risks of either service operator or hackers to take your coins from their servers. Still, some people decide against these advices and still use these online wallets. You can't blame Bitcoin itself for that.
There are more secure ways to store your Bitcoins, from printing your private keys on as a paper wallet and store it in a safe place where no one can reach it, to storing it on your computer, protected with a long, unique pass phase, to storing it in a web wallet like blockchain.info which doesn't store your coins directly, but encrypts the private key with your password before storing it on their servers.
Except there's no such thing, so there are no such reports.
The problem is: In order to for transactions to work fine you'd need to run the bitcoind client on your machine. So you have to secure your machine and need to run the client.
This is quite difficult for some people so a lot of web services offer you an online wallet. There the private and public key is on their server. These services get hacked quite often. You basically trusting a stranger with all your money.
The exchanges also provide you with a wallet. A lot of people are lazy and keep their Bitcoins and their money in the exchange. But some exchanges store the money they don't actively use in so called "cold storage" i.e. on a computer that is not connected to the network and webserver of the exchange. In that case you can hope that your money get's refunded.
If you store your Bitcoins in an offline wallet and only use exchanges for buying or selling the Bitcoins and withdraw your coins or money after the transaction you can minimize the risk.
If you take the proper measures bitcoins are very hard to steal. You can create wallets and transactions even from an offline computer and never expose your savings to the internet. You can even print to a paper your wallet info and never again use it within a computer. You just need to trust the wallet generator enviroment.
Still, keeping BTC safe for the average user is really hard, even tech savy people made costly mistakes. Hardware solutions will be needed to solve this problem, but the tech is in itself safe(tm).
You can store BTC on your own computer, or even offline on a sheet of paper.