Yes many if not all will do fine in a tropical aquarium. I used to have some beautiful beadlet anemone collected at muriwai some of then could expand to dinner plate size. They would pop their side open and poke out hundreds of little baby ones sometimes too.
Not a whole lot is known about anemone sex, but it seems they spawn by the males & females releasing eggs & sperm. From this article, slightly outdated now, here is a quote http://www.reefs.org/library/article/r_toonen8.html
Quote "Among the species described, there is almost an even split between species that spawn pelagic larvae and those that brood internally. Becuase I had only ever heard of the release of sperm by spawning Entacmaea and Stichodactyla previously, I was starting to suspect that these species may be brooders, which makes it a lot easier to breed in aquaria. Of course, our sample size for spawnings is so low that I don't have much confidence in that guess, and if Ron's is releasing eggs rather than sperm, that guess is shot down ;-). Of those species that spawn pelagic or demersal larvae, there is again about an even spilt among those larvae that do and do not feed in the plankton. If we're lucky, the larvae will be non-feeding and have a very short time in the plankton, but if they release feeding pelagic larvae, or even if the larvae spend a reasonably long time in the plankton (some non-feeding species spend more than a year as a larvae before settling!) it may be difficult to impossible for us to raise the young in aquaria, even if we were to be successful in obtaining a spawning pair"