You can also set up filters; the data is not reordered but the genre, when selected from a drop-down list, remains visible while all other genres are hidden for the duration that the filter is active.
If you add a filter (choose the column and then press the icon which looks like a funnel). You can then group by any of the headings you have, at that point you can copy and paste the whole selection onto a new sheet. Hope this helps...
Jim's method is certainly the easiest. Highlight the whole sheet by clicking in the top left corner, select sort - custom sort - select the column that has your genres in and it will reorder alphabetically. It will stay like that until you changed it.