I like combat.
But I still feel interested in what you might be playing. Am I missing something out? (Probably, but is this a matter of "opportunity cost" or would it appeal so much more to me? I'll never know...)
The party's currently (since the start of the year or so) in the City of Brass, serching for a relic stolen from their church.
Last session the knight in the party made a deal with the envoy of a prince to prevent the princess (and heir to the throne of some country on a prime) from returning to her home. He also promised the princess, who wants the enovy killed for high treason, to protect her. He had the envoy followed by street urchins he hired, and found out about the envoy meeting with a devil before meeting with him.
While he was investigating where that devil may be staying in the city, someone looking like him went to the priestess of the party. As it turned out this was the devil in disguise, trying to get the priestess to transfer the debt an adventurer owed her to him so he could force the friend of the adventurer to get him a sword the two had just recovered and have to return to their country to save the original thief, a friend of theirs, from getting executed.
The knight went back to the inn the party is staying in during this, and hired some lady of the evening, which turned out to be the disguised half-sister and mortal enemy of the half-dragon the priestess saved from slavery two sessions ago.
The barbarian, which had been instrumental in getting the notes of a dead mage to the rebel faction, which needs them to restore the body and memories of the heir of the dead sultan, was getting ready to knock the "possessed" knight unconscious when the knight arrived at the scene in the company of the disguised "lady". The priestess managed to avoid bloodshed, much to the barbarian's chagrin, but the devil is staying nearby, waiting for the moment the adventuerer's debt is paid and she leaves the party's protection. He passes the time ramping the barbarian's paranoia up by making him think he could be anyone in disguise. The barbarian meanwhile is planning to "save" the efreeti prince the rebels want to restore from becoming an evil firedevil again, and may rat them out to the usurper on the sultan's throne, which the party strongly suspects of having stolen the relic.
Meanwhile, the founder of the city of brass, which the party freed, needs his powers back, which the vizier may have taken, which may or may not want to topple the current sultan, and may or may not make a deal with the party. The priestess, fueled both by vanity as well as the idea this might lead to the relic, also prepares for a big dance competition at the Sultan's palace, the first prize of which is a place in his harem - where a jinni princess is waiting who has made the priestess promise to get her out.
There are a few more subplots, but that's the gist of the main plot. I think they will finish this arc aroudn the end of this year, playing weekly.