Now, those have been mostly replaced by similarly named folders and I just use wget to save pages & their files into the appropriate category.
The text files still hang around though for little chunks of interesting code, part names/numbers, references, and similar tidbits that do not need any media to go with them.
Occasionally I start new ones, as interests change. When I do, the old files get renamed or deleted. I've got various "notes" text files going back 20+ years, and because they're in plain text files (or html + images), I don't have to worry about services shutting down, proprietary formats changing, etc. It's a system that has been working very well for me, and I don't see any need to change it.
However, I do recognize that this works for me because I do not use a bunch of different devices, so I don't care about syncing, or using my method from mobile devices, etc. If you have those use cases, you'll very likely be happier with something else.
I've never used a Wiki as you described it - can you tell me more about your system?
The cross-linking itself is done directly in files. I use org-mode[0] in Emacs for keeping notes. No web access (one day I may some up but I have no pressing need), mobile mostly through Dropbox app itself (there were some mobile apps for org-mode files developed recently that aren't crap, but they're still geared mostly towards the TODO-list features, and I need a general-purpose org-mode notes editor; I haven't found any for Android yet). So I mostly interact with the Wiki whenever I have a computer with Emacs handy (at work I selectively sync wiki/ and several other folders from my personal Dropbox).
A very simple setup, but the real value comes from just storing all those notes over the years. I store everything and anything - from personal information I just can't remember for life (like social-security-bank-insurance-tax-whatever something ID), through cooking recipes, my geek code[1], dieting notes, shell snippets, notes about geopolitics, travel checklists - you name it.
[0] - http://orgmode.org/