SourceKit appears to simply be very, very bad.
The list of problems above contains a number of possible causes; beta software, code being updated across releases (created in one version, edited in another), problems with IB connections, bridging or issues with override and/or lazy.
Well I'm using the release version of Xcode 6.1. The code was created in this version. There isn't a single use of overrides, lazy or bridging. It does file handling, and doesn't have a single IB connection (yet). The code is entirely devoted to opening text files and parsing them, using the most basic Cocoa primitives, mostly NSString.
SourceKit crashes every couple of minutes. It crashes so often and randomly I cannot determine any sort of pattern. One issue appears to be if an existing line of code contains a reference to one type and then changes to another, but that's definitely not sure-fire nor the only cause. (Update: crashes with every 10th or so keystroke now)