I think the combination of the way locations, investigating, and combat work in this game with RPG-like characters is pretty powerful and would be great for other types of games.
A dungeon-delving fantasy D&D like game, for example, might work well.
What else might work with these mechanics?
Some kind of high tech burglary heist somewhere between Ocean's Eleven and the Mission Impossible movies. Characters break in, acts add new locations for them to explore in the place, agenda brings more guards and defenses. Your deck/skills help you get over defenses, and you can naturally have different character types - The Tech Geek, The Bruiser, The Con Man, etc... The only issue is the cycles may get a bit boring over time. So maybe it'll have to go more in the James Bond direction with various villains masterminding in the background of each cycle.
Edit: Thinking about this for 3 more seconds, they would probably spin it into a co-op Android LCG that could be a sister game to Netrunner - actually very similar in theme to the already existing Android: Infiltration game.
Edited by SuperMarinoShadowrun!
With the game's movement, two-sided locations, actions, plus the agenda's tokens-on-the-board timer in mind, I have just about finished a first pass at a variant scenario in which I've replicated the entirety of Forbidden Desert inside the Arkham ruleset. It's interesting, plays different to the 'condensed' regular scenarios, leaning into Forbidden Desert's exploration and flipping of tiles to find the locations that'll lead you to your win state.
A couple of weeks ago, some mates of mine got together to do a Warhammer 40k role play game based around an Inquisitorial investigation team. What with sanity-shattering bad guys and psychic powers which cost your soul to use, it seemed a very good fit! Shame FFG and GW have parted ways... I could see AH:LCG working well for that too.
A WWII setting would be great, a covert operations in Fance with local partisans and British spies. I think it could be awesom. 
You could have NPCs that were double agents, or assets (allies) that were in the encounter deck.
Edited by Daft BlazerIf they hadn't lost the licence, I could see a Warhammer 40k, Inquisitor themed game using the exact mechanics.
If they hadn't lost the licence, I could see a Warhammer 40k, Inquisitor themed game using the exact mechanics.
This was my first thought as well. Dark Heresy: The Card Game sounds like it would be a great deal of fun. The players would try to stop the summoning of the Daemon Prince Umordhoth and slay its minions with bolter and chainsword!
Quite frankly, they'd work great with a much needed reboot of Lord of the Rings.
I strongly agree with the Shadowrun suggestion. The first time I read through the rules I though about how this could make for a great Shadowrun game with some minor flavor changes.
Instead of getting clues they could be completing minor objectives and the cards drawn during the mythos phase could represent problems along the run.
On 16/01/2017 at 1:03 AM, Hawkstrike said:I think the combination of the way locations, investigating, and combat work in this game with RPG-like characters is pretty powerful and would be great for other types of games.
A dungeon-delving fantasy D&D like game, for example, might work well.
FFG already has (had) this: 
It uses dice rather than a bag full of tokens. Not a bad game, but the AHLCG rules and teh cthulhu mythos go together like chocolate and peanutbutter.
On 16/01/2017 at 10:36 AM, Daft Blazer said:A WWII setting would be great, a covert operations in Fance with local partisans and British spies. I think it could be awesom.
You could have NPCs that were double agents, or assets (allies) that were in the encounter deck.
Great Idea. I wonder if FFG still has the Tannhauser licence.
On 16/01/2017 at 3:00 AM, Kentares said:Shadowrun!
Yes please. I guess they can make something similar set in the Android Netrunner setting. That way they won't have to shell out for the Shadowrun licence.
Aliens.
Survive on the Nostromo and investigate what happend to the colonists of Hadley's Hope.
Oh and add some Predators in the deluxe expansion!
On 24.1.2017 at 2:18 AM, Scottgun said:Quite frankly, they'd work great with a much needed reboot of Lord of the Rings.
It would definitely work well in LOTR.
But many games where there would be locations, solving problems and trying to survive games, would fit in. Even co-op Star wars would be nice in this format!