http://www.harborfreight.com/7-function-multimeter-98025.html
This is the one I always reach for first. I have several of them. Harbor Freight sometimes gives them away for free-with-purchase. Accurate enough for most measurements. If you wreck the ohms function by trying to measure a voltage or current with the meter set on the ohms scale, no big deal. But these meters are actually surprisingly resistant to that failure mode.
170123: unintentionally leaving the meter in the 200mA mode, I have occasionally tried measuring 18650 voltage (!). No harm done to the meter, but I do yank the leads as soon as I see the over-range indication.
I am quite happy with the accuracy of my shoddy little Chinese multimeters!
Incidentally, here is a really interesting option:
http://s.click.aliexpress.com/e/urjufuB
It is a Chinese production of an open-source component tester developed by German engineer Markus Frejek, and later Karl-Heinz Kbbeler. A full description of the project is available here:
http://mikrocontroller.net/articles/AVR_Transistortester
Its initial calibration demands are frustratingly cryptic, only to be resolved with a dose of Youtube:
I ordered one, and assembled it. It has ABSOLUTELY NO assembly instructions, but the extremely high quality double sided fiberglass PC board is well annotated.
Update 170126: This has to be about the coolest $14 I have ever spent. The kit went together in a little over an hour, all the pieces were present, fit perfectly and soldered beautifully. It powered up and the display was blank. I wasted my time and money! In desperation, I twiddled the pot on the back, and, presto-changeo, the display came to life: the pot is the contrast adjust. Duh! Duh, also: now I know it is also available assembled and tested for only $2 more than the kit form.
It will take me a while to determine what all this gizmo does, (for example it reports its incoming supply and CPU Vdd voltages) but here are some preliminary test shots: