When comparing Double Commander vs Thunar, the Slant community recommends Thunar for most people. In the question“What are the best file managers for UNIX-like systems?” Thunar is ranked 2nd while Double Commander is ranked 4th. The most important reason people chose Thunar is:
Unlike Nautilus, which requires the whole GNOME desktop, thunar just depends on some XFCE utilities & GTK.
Specs
Ranked in these QuestionsQuestion Ranking
Pros
Pro Multi-platform (Linux, Windows, MacOS X)
You can use same tool in all desktop OS environments.
Pro Source code is available (true free software)
If the developer loses interest there is at least the possibility that someone else will pick up the torch.
Pro Configurable
Lots of options allow you to configure DC the way it suits you best: Tools, Fonts, Colors, Hotkeys, Mouse, Fileviews, Plugins, Layout, Toolbars, Tabs, Icons etc.
Pro Directory Hotlist
Save shortcuts to folders. Organize them in a treeview with submenus. Define a name and sorting for each entry.
Pro Powerful tcmd-like search tool (alt+F7)
Pro tcmd-like multi-rename tool (CTRL+M)
Pro DC uses TCmd plugin API
so you can use documentation from Total Commander for writing plugins. WCX (packer), WDX (content), WFX (file system), WLX (lister).
Pro Closely follows TotalCommander UX
For instance, the 'Settings | Layout' pane is quasi-identical to TCs.
Pro Very sophisticated
Although it is lightweight and simple to use, it can do very sophisticated tasks, like copying files from directories which have a certain extension or file size or have a certain text pattern in them. Also, it's very customizable and stable.
Pro It's that good, you can replace tcmd on windows too
Pro Source code written in (Object) PASCAL
It's all a matter of perspective. I'm not for an argument about IDE's, frameworks etc, but to me that's a big plus. I think it should be a tie, it's either a pro or a con or should that be neither a pro nor a con. It just depends on context.

Pro Minimal dependencies
Unlike Nautilus, which requires the whole GNOME desktop, thunar just depends on some XFCE utilities & GTK.

Pro Supports "quick-directory" typing
While in a Thunar window, typing either a "~" or a "/" will automatically start typing into the "address-bar" and pressing enter goes straight to the typed directory.

Pro Non-recursive find
In a thunar window, any non-directory typing will search in the current directory for the filename that you type (non-recursive, unlike Nautilus)
Pro Select by Pattern
Select multiple files in the current folder using a wildcard pattern.
Pro Custom actions are easy to set up
Use Custom Actions to add right-click options to do things like Open as Root, Open Git GUI, etc. You can filter the file types and filename patterns that the actions will show up for.
To add an "Open as Root" action, go to Edit, Configure custom actions. Assign a name and a description. Set Command as "gksudo xdg-open %f" (you'll need to install gksudo since pkexec won't work). Pick an icon (I prefer "changes-allow"). Under Appearance Conditions, select Directories, Text Files, and Other Files.

Pro Supports forward/back mouse buttons
Supports the M4 and M5 mouse buttons for forward/back, similarly to most browsers.
Pro Supports renaming files in bulk
With also predefined functions as insert (date, numbering,...), search/replace, etc ...
Pro Split View
Browse files in two directories with a dual pane view.
Pro Does the job
But nothing more.
Pro Keypress to search in folder
While in a Thunar window, typing a filename automatically selects the first matching file in the current folder.
Pro Can assign custom shortcuts to scripts in XFCE
Thunar can use the editable accelerator feature of XFCE.
Run xfce4-appearance-settings
in terminal, go to settings tab, check "enable editable accelerator". Now open any command in Thunar menu, hover to a command, i.e. your custom "places" or your custom command, then press any combination to assign a shortcut to it.
be careful though, cause it will also remove the shortcut from other command.
Pro Tabs
Use tabs to open fewer windows. New tabs automatically start in the same location. Tabs can be detached.
Cons

Con Apparently only one developer
Con Freeze after mouse double-click on directory list item
Con Much slower on Linux and Mac than on Windows
Con Source code written in Pascal language
But this does not affect users negatively. It's just programmers problem.
Con Not developed anymore for Mac
Con Can't edit files on remote FTP servers
Con No integrated search option
Con No usable image view mode
Setting view to "icons" doesn't satisfy. The icons are too small to see the image.
Con Simplified action bar
The action bar on Thunar is very simple and doesn't have as many features and buttons as other file managers. It only has a back, forward, up, and home buttons as well as the folder path.
Con Does not integrate well into Gnome
Con Tree sidepane missing features
When the sidepane is in Tree mode, it does not show Places (Favorites). It also doesn't collapse folders (like Windows Explorer), adding to clutter.
Con Requires GNOME dependencies to support common features
Thunar relies on GVFS to support mounting disks or accessing web folders, however since GVFS is a third party GNOME library and made for the use in the GNOME environment its often incompatible to Thunar stable releases which results into crashes and other issues
Con No double pane support
Working all in all quite good out of the box, but the windows are too big. Drag & drop is working, but useless on a one-window file manager. Even for novice users it's too weak for everyday work.
Con Requires plugins for some basic functions of modern file managers
Con No Split View without a patch
Which can be a deal breaker.
Con Moving files
Has serious problems moving files. It may stop abruptly with some undefined error message and the files would be gone afterwards.
Con Won't write to any removable media that has been on an Apple machine
Removing dot-files that Apple puts on the media (like .fseversd) allows Thunar to write to it.
Con Doesn't integrate well with archive manager other than Xarchiver
"Extract here" function doesn't integrate well with archive manager other than Xarchiver (e.g. Ark, GNOME Archive Manager).
Con Image thumbnails sometimes wrong
There seems to be a bug where sometimes images get the wrong thumbnail, this can lead to data-loss.
Con Slightly unstable
Thunar crashes some times on file moves, copy-pasting etc. The developers are working on it, but it's taken a while.
Con No progress bar when copying/moving file
Either this is problem with XFCE4 or Thunar, but there's no progress bar when copying/moving file with Thunar.
The only way to tell whether it finished is CPU usage.
