Pubget lets you flip through and read the latest issue of your favorite journal much as you would the paper copy. To get the latest issue, type the journal name (or a reasonable abbreviation) into the search box and click on the word "latest" just below the search box:

Pubget does the rest. (You can type "[latest]" after the journal name instead of clicking the button, if you want.)
You can flip through the whole issue, pause to read, save, print, or email papers right then and there, or mark a paper as a keeper and come back and read or reference it later.