iFile.
Almost anything you try to download will give you the option of opening in iFile at which point you can put it anywhere you want.
I think they are more interested on the ability to download on the background and to stop, pause and resume downloads, that is not offer by iFile
I use the DolphinBrowser. For me personally, no reason to install an extra tweak for something that can be done built in on a 3rd party browser from the App Store. It works really well.
I personally use safari download enabler
I personally use safari download enabler
Anyways, someone could also argue that there's no reason to install an extra tweak to get the faster safari experience (tweaks like nitrous or that other one that was released for iOS 7.x) and also how safari is a more stable and faster experience than third party apps
(I know there was huge speed improvements in safari in iOS 6 compared to iOS 5 and before and I want to say the same for iOS 7 but I don't think it's up to the stable level iOS 6.1+ safari was yet)