Chuck, as a couple of other people have said, some really good books mention. Marcel Links High Probability Trading is worth reading a couple of times. In a very simple format it explains how to approach the market. I would also recommend Mastering the Trade by John Carter. His website,
www.tradethemarkets.com does get both good and bad reviews as he sells indicator packages which are easily programmed yourself and he has a members trading room etc. These kind of things do get bad press, HOWEVER, the book is actually really good with some great trade ideas, including how he uses moving averages, plus some other easy trade setups. He, like the link book, also suggests how you should go about approaching and reading the markets, which is a very similar approach to Link.
Now, realistically you're not going to find this simple trading system you're after. It's just not that simple. Although, it all can be very simple. I use moving averages alot and they work for me, but I've made them work for me and my style of trading. If you read the above two books thoroughly, both and easy read, you'll get a good outlook on how to read the markets. Then apply some simple methods such as the ma's and see what they show you. You can't expect to read some books and be up up and away, you still have to put in some time and adapting these simple trading methods to suit you.
What I can tell you is that something as simple as ma crossovers will kill you. 20 years ago it was the easiest trade ever. However, use ma's wisely, including crossovers, and you will have a system that works. But, you must understand what the market is telling you before you apply these techniques. So, read the books above. This will tell you how to approach the markets. See how they use ma's and then adapt this to suit your style. It is easy to find a system, you just have to make it work for you.
In the meantime, happy reading and good luck.
Oh yeah, Suri Dudellas book Trade Chart Patterns like the Pros, excellent. Worth having on your desk.