A long list of recently opend PDFs can be displayed a list or page thumbnails. Sorting by file name, file size and date is possible and can be predefined in the options menu (upper right).
I prefer the list view since it’s faster and one can see more files. By hovering the mouse over an entry a preview of the pages (you can click through the pages) is displayed!
In addition sharing the PDF documents used on the desktop with the Adobe Reader Mobile is very easy.