So I've played some fantasy games and I've recently started playing Divinity original sin. Before this whenever I encountered the word Lich I heard it as if it would rime with "itch", "bitch", "Kitsch" etc.
However, in the Divinity series, it's pronounced in a more Germanic language, (I myself am Dutch so it's more obvious to me how to, but I'm sure this is one of those pronunciations that don't work for non-germanic speakers). The best way I'd describe it is being extremely close to "Lick".
Since you have posted a link to Lich on Wikipedia as a comment to the question, where lich is characterised as "a type of undead creature in fantasy fiction", it would appear that the word is directly taken from the near-obsolete English word lich.
The normal pronunciation is /lɪtʃ/ "litch". But the word is very uncommon, which explains why even native speakers might be uncertain about its pronunciation (just as a number of native speakers only learn the standard pronunciation of words like "albeit" later in their lives, if ever). Who can know why the voice actors in some game like Divinity: Original Sin use some different pronunciation like "lick". There are lots of possible reasons:
In the Wikipedia talk page for the article "Lich", I found one person arguing that "there is plenty of anecdotal evidence that some gamers pronounce the word" as like. I wouldn't attach too much importance to that, though, as there are a number of mispronunciations that may arise in an activity where people mainly encounter unfamiliar words and names in print rather than in speech (see this forum discussion thread: "Okay, that does it. Pronouncing "LICH.") Sometimes a "mispronounciation" becomes so well established that it comes to be accepted as a standard pronunciation of a word (for example, "Wicca" is pronounced /ˈwɪkə/ even though it comes from the Old English word wicca, which is thought to have been pronounced with palatal rather than velar cc, i.e. /ttʃ/). But this doesn't seem to have happened (yet) with /k/-pronunciations of lich: as far as I know, no dictionary records any pronunciation other than the one in -ɪtʃ.
The Wikipedia talk page participant also brings up some information about the etymology of lich and historical variant forms that I think is irrelevant to the way it is pronounced by modern speakers of standard English, but I guess I'll mention it anyway for completeness. The OED says
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