None of them actually "like" anything. They will take whatever they can get, whether actively attracted to them, or simply by accident when an insect makes a mistake by landing at the wrong place.
In the case of the fly traps, I don't think mosquitoes will be standard fare for them as there is nothing in the traps to attract skeeters as far as I know. I really think that they feed mostly on ants, as the design of the leaves leading to the traps is a natural path for ants to make. Recently I had a problem with ants deciding to build a nest right among some smaller flytraps I had growing. I was fretting about how to get rid of the ants without damaging the plants when a couple of days later apparently all the ants vanished. All of the traps were close, so I presume that the fly traps themselves took care of that problem. Poor planning on the part of the ants, I think.
Anyway, I think the best bet would be sundews as far as mosquitoes are concerned, especially the threaded kind, since mosquitoes would be likely to alight on the upright stems coated with the sticky globs that will entrap them. But honestly, with the moist soils needed to make sundews happy, you might just be creating even more of a problem by providing areas conducive for mosquitoes to breed. I have some sundews set up in individual containers outside that sit in pans of water and we have to constantly check on those pans to dump them when we see mosquito larvae in them. Any way to block the mosquitoes from reaching the water to lay eggs would likely be even more of a pain in the butt than just dumping the water when needed.