How to experience the thrill of mining?
Have you tried understanding why you have that desire? It might help you understand more about what makes you tick.

You might like to try mining Litecoins, or even on the Bitcoin Testnet. Or, you could try some Bitcoin mining with the Eligius pool, which from memory will pay out any amount after 2 weeks (whereas most pools have a minimum payout). If you can manage to mine 0.01BTC, that is enough to make a transaction from most eWallets (again, they often have a minimum transaction, usually 0.01BTC), and you could possibly even buy something from coindl.com with it.

Alternatively, you might get more satisfaction by playing Minecraft (it has a free trial), which can give the same sense of satisfaction when  you find something of "value".

Another option to consider is earning some dollars, or whatever your local currency is, and exchanging it for bitcoins. Or even just save some dollars on electricity by not mining, and exchange those for bitcoins. Or, sell something on bitmit maybe?