AnFX Version 188.8.131.52 allows configuration of text quality parameters that cause a change in the quality of the text output from the Flash player.
For both single line and multi line text actor types the user can specify a 'movie' wide option for each type.
You access these options by right clicking on the stage window on empty space and choosing "Produciton properties..."
The options are:
Text Rendering Engine: Normal or Advanced
Grid Fit Algorithm: none, pixel, subpixel.