PayPal

You can't directly buy Bitcoins using PayPal, because it is risky for the seller, and therefore few sellers will offer this. There are basically 3 reasons for that:

    The buyer of bitcoins can always perform a chargeback and there is no way for the seller to contest that 

    There are many hacked accounts and when PayPal realizes that such an account has been fraudulently used, they will also perform a chargeback 

    PayPal doesn't like bitcoin, as the bitcoin network is in direct competition to it. They will ban accounts that have anything to do with Bitcoins, and freeze their balance. 

Having said that there is a workaround that can be done in order to use Paypal to buy Bitcoins but it holds within it higher transaction fees. Using the Virtual World Exchange you can buy Second Life Lindens (SLL) with Paypal and then convert your SLL to Bitcoins. This process will charge you transaction fees of around 6% but will let you purchase Bitcoins pretty quickly as opposed to a wire transfer. The reason this method works is because you do not buy Bitcoins with Paypal directly, you only buy SLL with Paypal (which is acceptable by Paypal's TOS) and then exchange your SLL to Bitcoin.

Note: If you only want to take advantage of Bitcoin's price volatility You can trade CFDs on Bitcoin via Paypal on sites like AvaTrade or Plus500. When trading online your capital may be at risk. Trading CFDs is suitable for more experienced traders.
Cash (US)

Local Bitcoins allow seller and buyers who are located nearby to meet and exchange Bitcoins through various methods including cash, wire transfer, Money Bookers, Skrill and more. Local Bitcoins offer a Bitcoin escrow services that holds the funds until the transaction is complete, therefore reducing fraud.

BitQuickco.png BitQuick.co (info) allows sellers to connect to buyers via cash deposit or SEPA transfer. You can buy bitcoin instantly by providing only your email address and bitcoin address. As soon as the deposit is received, the bitcoin are sent.

Cryptxchange allows you to buy bitcoins by depositing cash at a local bank, or by sending a wire transfer. Low rates, fast customer service, no account verification or creation needed. Average transaction time of 30 minutes depending on the time of the day. We recently automated every step of the process, with our record transaction standing at three minutes. In the future we hope to get our average transaction time down to five minutes.

BitBothers LLC allows customers and bitcoiners to purchase bitcoins by either sending in cash, money orders, cashiers checks, or MONEYGRAM to a designated location. Bitcoiners can also deposit money directly into one of the corporate business accounts increasing the transaction time to less than an hour. These methods of payments are avaliable to ensure anonymity and protect the ideals bitcoins were founded on. For customers who wish to preform bank transfers, the option will be avaliable shortly. BitBrothers LLC gurantees that all customers will be satisfied with their exquisite customer service and overall experience that they are even offering discounts to select customers!
Cash (International)

Local Bitcoins allow seller and buyers who are located nearby to meet and exchange Bitcoins through various methods including cash, wire transfer, Money Bookers, Skrill and more. Local Bitcoins offer a Bitcoin escrow services that holds the funds until the transaction is complete, therefore reducing fraud.

Cryptxchange allows you to buy bitcoins by depositing cash at a local bank, or by sending a wire transfer. Low rates, fast customer service, no account verification or creation needed. Average transaction time of 30 minutes depending on the time of the day. We recently automated every step of the process, with our record transaction standing at three minutes. In the future we hope to get our average transaction time down to five minutes.