For my daily use machine, I own a Brother NX-450 -- one of the more expensive ones you have to get from a dealer. If you get a chance to see a sewing machine dealer, sometimes you can get a used or refurbished machine for a good price...which is what I managed to do. I got the machine for about half the normal cost because it was refurbished. I also got to "test drive" it prior to the purchase, and could have taken an introductory course, had I really needed it -- both bonuses for going to a dealer.
But I'm also living between two different countries at the moment, and needed a "backup" machine I could use while home in the States. I did some research and ended up picking up a Brother SC9500 for $199-ish at Sears. It had the features I used most on my NX-450 -- speed control, auto button hole settings, drop-in bobbin, and the automatic needle threader. The instruction manual isn't bad, though I'll admit I've not used it much. There was also a DVD included with the machine that went over a lot of the basics, as well as how to use the buttonhole foot and a few other functions. (If you're curious, you can get a preview of the DVD
here.)
Overall, though, I'd say that, if you go with a new machine, you should probably stick with Brother, Janome, and maybe (if you find a dealer with a good price) a Babylock; Berninas and Pfaffs are excellent, but tend to be expensive. Going with an older, used machine -- one that will go forward, backward, and zig zag -- you could go with a Kenmore, Singer, or White so long as it was 1970s-ish or before. These can be found for decent prices in thrift stores, at yard sales, and sometimes on eBay. You'd want a local purchase, though, cause these babies weigh a ton! They're also hard to kill -- I keep a 1960s Kenmore around for sewing things like multiple layers of cordura and leather.
I'd also recommend having a browse over at Amazon. Not only do they have a surprisingly good selection, but you can read reviews and weigh them accordingly.
Good luck!
EDIT:
Also, Craftsy has some good, basic classes to offer to beginners, some of them free. The "Sewing Machine 911" class is free, and a good primer on some quick solutions to common problems. As far as paid goes, I'd recommend the "Sewing Studio with Diana Rupp." I have the book the class is based off of, and it has some excellent tips for beginners, as well as some simple projects to get started with.