These are the most common for me:
Switch to log for any kind of sharpening operation and for resizing (this help avoid those black edges caused by NaNs / negative values) then switch back to scene linear (when doing this use a 1D transfer - lin2log. This way you aren’t switching gamuts.
For comping graphics @andy_dill showed a cool little tip using log space to comp a graphic.
Log is sometimes also good for capturing some high hair detail.
For any tracking operation in Flame it’s best to use a 1-0 space (Including the Planar Tracker and Motion Vectors) - just keep a color management node floating around does a tonemap operation (i think there is a LUT in the Color Management node specifically called ToneMap, you could also use a acescg > rec709 LUT, this is also tonemapping but does do a gamut switch which may or may not be desired, the tonemap will keep you in the same gamut and is reversible should you need to do some temporary fix then revert afterwards) and just flip it on for tracking, then turn it off or break it out the connection. It’s a minor annoyance but it’s not a deal breaker.
J.