iOS 7.1 Strongly Recommended
Based on the (lack of) crash reports that I have received so far for Fast Lists iOS 7.1 is much more stable and most of the issues I had open were probably actually iOS bugs rather than Fast Lists bugs. So far I have received only two crashreports pertaining to iOS 7.1 and both are apparently the same (new) issue although I have not investigated deeply yet.
All Users should update to Fast Lists 2.04 ASAP (or 1.78 if you can't install iOS 7)
There a improvements and fixes in each release of Fast Lists, most of them minor but the newest version should be pretty stable. Fast Lists 2.0x versions are all pretty stable but if you are running a version earlier than 1.78 there are issues that will cause crashes and there is nothing to lose by updating.To Apple employee that crashed Fast Lists 1.72 on 2nd April on an iPad
That is probably my bug please update to the latest Fast Lists, 1.72 had serious crashing issues although I obviously haven't tried it on the iOS version you are using which may resolve some of them.