Not tried WinAmp, but I am a fan of Foobar. I use WASAPI for most listening, but do have some old MP3 files with odd bitrates that require a switch to DS output. Foobar doesn't seem to tax an older computer's resources like some media players.
I started my computer audio experience with Windows Media Player, because that was what was already on the laptop, but it's awfully slow at detecting new files in the library, and since I went from using WMA lossless to FLAC, of course it won't recognise the latter.
One thing, though; when I use WMP, I find myself selecting different albums to listen to, as I spot cover art in the library, compared to when I browse the more texty Foobar. So I do still revert to WMP on occasion, just to see if I stumble upon something I haven't listened to in a while.