I'm going to have to agree with the other post's I don't think there is any that support .lit officially on any of them it's probably due to some Microsoft licenses nobody was willing to pay for.
There are a few converters for .lit files ABC amber, Convert LIT, or as others have already mentioned and probably the best solution is Calibre.
What you really want for modern readers are .mobi files for kindles or .epubs for basicly everything else.
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