A chart (i.e. a list), generally music-based, determined by ones personal taste.
Commonly personal singles charts are a list of what one person's current favourite music is, and is compiled by themselves. The chart will typically change every week, like national charts, the positions moving such that some older songs make way for newer songs. Typically a single may climb the chart to its peak position then move downward until it drops out but patterns may differ.
Oxymoron by 11:59 is currently number one on the NM personal chart.