Depends how quickly they want a replacement, I think. Exocet and Harpoon could definitely do with a facelift, but I would have thought SCALP/Storm Shadow (perhaps with some updates) would be good to go for years yet - particularly the French naval surface/sub-surface launched MdCN variant, which as far as I know hasn't even entered service yet. So if they're looking as long-term as a replacement for a missile that isn't in service yet, then I think Perseus could definitely be in with a shot.
If the MdCN is intended to serve for the foreseeable future and the pressure is on replacing Harpoon and Exocet more so than SCALP/Storm Shadow then I would think the Kongsberg NSM has a solid place in the conversation. It's ready and in production as of now, and capability-wise it appears to match or exceed other in-service AShMs (at least, going by what I've read in open-source information - not definitive by any means, I understand). Plus you've got the JSM air-launched variant being prepared for the F-35, which I'm sure will stir interest in the British (though I'd suggest they probably already have plans for the JSM, to lend their carrier aviation some anti-ship capability with stand-off range). In any case I think the NSM will get a definite look-in.
Whatever comes out of the LRASM/OASuW Increment 2 programs might also be a possibility, but all the information out there about this capability has emphasised how advanced a missile it's going to be, a potential game-changer as far as computational power and targeting capabilites are concerned - would the USN really be keen on sharing such a weapon straight out of development with the French? I personally don't think so...
Other than that, maybe the RBS-15 Mark IV is a dark horse? We still haven't seen much solid information on the newest RBS variant, though the released specifications suggest some significant changes. The publicly available figures on range are a massive increase over the previous mark, along with improved seeker units, some degree of configurable warhead (presumably depending on target/mission set), and a reduced radar signature. Personally I think the range increase and LO characteristics of the Mark IV will mean a totally new airframe, and Saab-Bofors should probably be moving in that direction anyway if they want to keep up with international competition. In any case it looks like they've already sold the newest missile in the RBS family to the German Navy, who are waiting for them to finish development on the Mark IV and using other types in the interim.
I don't give the RBS much of a shot but hell, I don't think the Germans would waste their money unless they could see a good return, and if Saab-Bofors can get the stated performance increases out of the Mark IV they should be frankly be knocking on the USN's door and asking to be let in on OASuW...