Well, I guess it depends on how, or in what exact way a race is strange.
In D&D my milieu is divided into two different worlds, ours, and another, on which live Elves, etc. On the other world Giants (they aren't called that, they have a name) are an actual (player character) race, but they are almost totally devoid of magic, unlike the other races. Instead they are physically powerful and excellent builders, architects, and engineers. Other races often employ them to build cities and various structures. But they are descended from other giants who were bred when Nephilim and Rephaim visited that world and interbred with their ancestors. The giants who are player races are about 7 to 12 feet tall, and often display unusual abilities, depending upon the individual. But their weirdness is due to the fact that they are naturally non-magical and naturally proto-scientific and "crafty." Like Elves were in the Tolkien, but instead of being magic crafty, they are technically crafty, and very distrustful of magic. They sometimes possess the natural "spiritual" capabilities of their ancestors, and therefore make excellent thaumaturgists (miracle-workers) and clerics.
There are also the Korruhn and the Korrupt. These are not races but rather individuals who have been exposed to high level magics and the effect is to "mutate" those individuals. (Not all individuals exposed to high level magics "korrah" or mutate, but a certain percentage do.)
When the mutations are physically unnoticeable and when the mutation appears in a player character race the individual is known as a Korruhn, when it happens to an animal or beast or it produces obvious physical and behavioral changes then that creature is called a Korrupt, which is another name for a "monster." So all Korrupt in the game are monsters, either because of appearance or because of behavior, or both.
There are the "Drown" who live on the other side of the Other World. They are completely pacifistic, chalk-white in appearance, and tend to live in secrete and in hiding. (No-one knows the location of their culture or population center, some think it in the mountains, some think it veiled or camouflaged, some think it underground.) They are extremely powerful illusionists and "spiritualists" and excellent sailors and navigators and explorers. They will not fight directly or kill, preferring to sacrifice themselves for others if necessary, but because they are so good at magic they rarely get killed through attack. But because they love to explore secrete and hidden places many of those who do "adventure" disappear or die by misadventure. However this race began as a group or nation that engaged heavily in the sacrifice of themselves and each other (they practiced what we would call human sacrifice) for centuries until a new leader led a certain percentage of them north and they became pacifists. The original race had lived in what out world would be Central and South America and eventually died off by killing themselves off with constant warfare and sacrifice.
The Mastred are a vicious race living near what in our world would be the Caribbean. They are all cannibalistic and piratical in behavior, and are the natural enemies of the Giants (elder Giants, 20 to 40 feet tall) who live in that area and around Washington DC (in our world).
Chimeras - a particular type of Korrupt that fuses aspects of more than one animal, creature, or beast. Like the Korruhn and Korrupt not a race as much as a "type."
In my sci-fi games there are also Intelligent Artifacts (IA). IA are machines or artifacts that display sentience and intelligence, but also all seem to have an agenda of their own. Some think they were created by a race of other machines, some by an alien species, some that they come from another dimension, or some even that they were individually created by God. IA are often also called God-Technology because the abilities they often demonstrate are very similar to those powers and abilities traditionally ascribed to God. If you could think of angels and demons not in the from of humanoid creatures or "beastly bodies" but rather in the from of machines then that might be a close parallel. None of these machines appear like living creatures though and some are gigantic, moon sized, and some are microscopically small. A few even seem made of coherent energy forms.
In my D&D Other World there is a parallel or corollary type of Artifact that often exhibits capabilities very similar to God-Tech or IA, though they are not called that. Some think a long dead race created these artifacts, some think the Nephilim/Rephaim did, some think God did. Like with the IA each such artifact is unique. Artifacts like this often strike up "personal relationships" with particular individuals and even seem to recruit such individuals for whatever particular agenda the artifact seems to be pursuing, but such artifacts never disclose their real intentions, even if they develop obvious friendships with living creatures. And some such artifacts do indeed become life-long friends with certain creatures, including korrupt and monsters. Such artifacts will appear and disappear from time to time but no-one knows if they can be destroyed.
