Tickler files is one of the things which comes up regularly in the training sessions that I run. I usually demonstrate an electronic version of a tickler file using various tools.
You can use nested folders on a filesystem to accomplish exactly the same thing as a physical one. You can even use nifty tools like Hazel (http://www.noodlesoft.com/hazel.php) to automate the management of the electronic tickler file.
If you're using a task management system, you can use start dates to "bring things forward". Tools like omnifocus make this really easy.
Evernote doesn't have specific which allows for start dates, but you can use nested notebooks to do a similar function to nested folders.
I try my best to have no paper in my life, that which makes it through gets stuffed into my ScanSnap scanner and goes straight into my evernote system. If it needs to be "brought forward", I take a link out of evernote and put it into omnifocus with a specific start date. Using hazel, I can also automate that, so that bills I receive are automatically renamed, taged, imported into evernote, synced and then added to omnifocus with the details of what needs to be done and the required dates.
I'm currently battling the urge to move away from evernote (http://albatrossflavour.com/blog/toevernote) but I'm struggling to see any advantages other than being able to use markdown to satisfy my (admittedly huge) inner geek.