Pretty much any digital multimeter will have adequate accuracy and precision for general purpose use. Specialist, or scientific, uses are more stringent.
However, you should never place a high level of trust on the accuracy of a reading unless you have a current calibration certificate for the meter in question. E.g. if you're an electrician and install a new circuit, you would always check the supply and earth loop impedence when finished. However, if the building subsequently burned down, you'd be making sure you had the copy of your test report and the meter test certificate that was valid at the time.