Requiem is filled with monsters, as most MMOs are. The monsters come in three varieties — two of which any MMO veteran will be familiar with.

Normal monster
The normal: Normal monsters are your typical easy kill. You can take a few of them on at a time pretty easily. They can be both passive and aggressive. They typically come solo but can also form groups.

Elite Monster
The elite: Elite monsters are typically found in dungeons or the higher leveled areas of a map. This particular elite is for a quest. Elites are your standard fare — bigger, stronger, harder to kill. They tend to be solo-able if you’re within their level range and farm-able once you’re several levels above. They give better XP and loot. Typically aggressive. Elites come solo and grouped.

Nightmare Monster
The nightmare: Nightmare monsters are different from the rest, and not really used in any other MMO that I know of. They tend to be a harder form of elite monster that only spawns in certain areas during a certain period of time. That time is the ‘Nightmare’ period and it occurs from 23:00 to 2:00 game time. Nightmare monsters typically have unique skins/models, are aggressive and have very fast re-spawns. They also give more XP and loot than normals. I’ve only seen them as solo, but they typically spawn closely together so it is easy to accidentally pull multiples.
Daytime monsters exist also. I have yet to find one so no screen shots. From the info I’ve found they tend to be similar to normal monsters, so no real bonus XP or loot. Similar to nightmare monsters, daytime ones only come out during the hours considered ‘daytime’. (5:00 to 19:00 game time)