This page aims to summarize the different options available to purchase litecoins online and offline. Please be extremely careful when buying litecoins from individuals or unaccredited websites.
Warning: Take caution. When sending money to an exchange or seller you are trusting that the operator will not abscond with your funds and that the operator maintains secure systems that protect against theft -- internal or external. It is highly recommended that you obtain the real-world identity of the operator and ensure that sufficient recourse is available. Because Litecoin services are not highly regulated a service can continue operating even when it is widely believed that it is insecure or dishonest and webpages recommending them (including these) may not be regularly updated. Exchanging or storing significant amounts of funds with third-parties is not recommended.
Some deposit options for Bitcoin are not yet available for Litecoin. Depending on your preferred deposit option you will need to obtain bitcoins before exchanging them into litecoins.
Note: If you only want to take advantage of Litecoin's price volatility you can trade CFDs on Plus500. When trading online your capital may be at risk. Trading CFDs is suitable for more experienced traders.
Since there is a risk to the seller when buying crypto-currency with Paypal you have the option to use VirWox in order to obtain Bitcoins with Paypal and then transfer them to your desired Litecoin exchange. The process includes buying Second Life Lindens (SLL) with Paypal and then convert your SLL to Bitcoins. You will be charged transaction fees of around 11% 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.
Credit cards are also eligible for chargebacks so it is difficult to use them for purchasing crypto currency. You can fund your Crypto-Trade account with Mastercard/Visa via Payeer. The same method that worked for Paypal can be implemented here as well.
CoinTouch finds people buying and selling Litecoin in your extended social network, for cash trading (or other means)
Harborly allows you to buy and sell litecoins by hooking up any US bank account and debiting/crediting it directly though the Automated Clearing House banking network.
You can directly purchase Litecoins at OKPay. Depositing OKPay and buying Litecoins at Crypto-Trade, BTC-E and 796 Xchange works too.
Crypto-Trade and BTC-E support Perfect Money deposits.
BTC-E, Crypto-Trade, Bitfinex, 796 Xchange and CoinMKT support EgoPay deposits.
Before using any service it's a good idea to look for reviews or forum posts about that service. When buying from individuals it's better to use an Escrow service such as the one available on LitecoinLocal.org.