Total Commander
TortoiseSVN is a native Windows Explorer Shell extension, so it's only available inside Windows Explorer. Other Commanders/Explorers available don't necessarily load the explorer shell extensions, and if they do we can't guarantee that they do that correctly.
However, as of version 6.5 you can show overlay icons in Total Commander. These How-To notes from Jochem Wendebaum may help you to get started.
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Enable right-click functionality
Go to Configuration -> Options -> Operation and choose "Left mouse button (Windows standard)" in the "Mouse selection mode".
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Show overlay icons
Go to Configuration -> Options -> Layout -> Display and enable "Show overlay icons, e.g. for links". In TortoiseSVN settings, go to the Look and Feel tab and uncheck the box labelled "Show overlays only in explorer".
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Show explorer SVN columns
Install the free "ShellDetails"-Plugin available at
http://www.ghisler.com/plugins.htm#filesys
Important note: in order to use it, make sure you read the documentation at
http://www.lefteous.de/tc/docs/shelldetails/readme.htm#fieldsearchdirs
You will need to restart Total Commander after making these changes.
Total Commander Homepage: http://www.ghisler.com/