The top plush toys for babies in 2011 so far are the Angry Birds series, Hello Kitty and the Webkinz. For more information check out http://kidsbesttoys.net/plush-toys
Toys that are all around soft with no removable eyes or pieces are safe for younger babies.
There are many sporting good stores that sell plush toys for your favorite teams.
There are some magnetized plush toys. Plaja Magnetic Monkey is a toy that fits this discription.
ToysRUs has a lot of toys like you are describing. Walmart also has a large selection. Sesame Street toys like Tickle Me Elmo and the plush Cookie Monster toys seem to be what you are talking about.
Almost all plush toys can withstand drooling, just be sure that if it is in fact going to be in a babies mouth that there are no little parts, like eyes, that can come off and choke them. Board books are also great toys that can withstand be drooled and chewed on.
There are several plush toys made just for bath time including Barney, SpongeBob, Caillou, and more. This site (FreshDeals.com), babystakes, and toysrus are all good online stores to look at for these type of toys.
Are plush toys easy to clean when dirty, well not really. Some toys you may be able to put in your washer or dryer. Other you will have to clean by hand.
Cute plush toys are sewn from textile, stuffed with a soft materal, for example, cotton. One recent example of plush toys is Ted from the movie Ted. Other examples include Amigurumi from Japan, which is cute with a big head.
In some of the stores they do but not most of them.
They have awesome plush toys that look like dinosaurs and dragons. Some of them are big enough for little boys to sit and "ride" on. One of my favorites is Koda the giant triceratops. You can learn more about him on here on this site (FreshDeals.com) I believe.
Skelanimals are stuffed plush toys that have skeleton designs on them.
You can throw plush toys in the washer and clean them pretty well.