Just to chime in with the obligatory: sounds-interesting-but-for-the-love-of-turing-it's-infuriatingly-hard-to-find-a-basic-description-of-what-it-actually-is.
I'll tell you exactly what Ethereum is: a blockchain for storing code. Bitcoin stores transactions, Ethereum stores programs. Those programs have persistent state on the blockchain and are capable of moving value around the system, hence you can build games, financial instruments and so on. These things are called "smart contracts" for historical reasons - nobody would call them that if they were invented now!
How's that? Clearer?