If you are looking for a film that's slightly more muted then Konica might suit you. I found it to be less warm than Fuji Superia. Agfa is similar but alas both will soon be things of the pastalthough some stocks of both should still be available.
Having said that, I was going to refer you to shots that Huggyviking posted in one of the galleries. It was Fuji Superia but there were the most desatured shots I had seen from a Fuji film. I liked the effect but I cannot find them again in the galleries. I think I asked how he's achieved the effect. Maybe if he reads this he will respond