For the most part the most recent versions of AppleScripts from this site which ran well under Mountain Lion should run fine under Mavericks.
Over the past few months, while Apple was releasing Developer Previews, I would often hear from Correspondents who had deployed one or more DPs that some scripts would not work. Invariably, however, the problem would be fixed in the next DP (filed a few bug reports myself that I saw fixed). But, as I mention whenever a new OS comes out, I can't possibly test all the scripts on the site. So, if you run across something unusual while running scripts in the release version of Mavericks then let me know.
I'm sure that over the next few weeks there'll be caveats and fixes aplenty to make.