I'm not the most creative person when it comes to naming characters in games (or at all really, but that's a different matter). As such, I usually go with default names when available, or I name my character Zchinque (or Zchinquette, if female).

The last game I can remember playing where I had multiple characters I had to name was Diablo II, and I gave everyone very pragmatic names corresponding to their respective character build - I had the two amazons MageAzon and Burizon, MeleeSorc the sorceress, the Necromancers Overlord and MeleeMancer, and so on and so forth.

So how do you guys name your characters?

I've sort of built up a stock of names over the years. If it's an RPG and I'm basing my character on a character from somewhere else, I'll just take the other character's name and maybe change the spelling. Or I guess I'll just make up something that's simple but "sounds cool", though this is rare.

Often when I'm just testing the game and create a generic warrior character, I use the name "Fightgar".

I also name the character after myself if it can make sense for the character to be "me". I did this with Mass Effect and to a lesser extent the Legend of Zelda games.

I kind of wish these games had a random name generator though.

I use Everchanging book of names for some Latin, Elvish, Viking, etc. names. The free version is sufficient for me.

ebon.pyorre.net

Other than that, I use names from another games, for example in Guild Wars the name must consist of at least two words, so I use names of skill teachers from Might and Magic 7.

If I want it to be a "personal" character, it's either Adzeth or some slightly modified version of my name or my name's meaning.

If it's a "non-personal" character, I usually pick some random word and either change some letters in it (my nick Adzeth was like this, from the word adverb), or just write it backwards. For example, I might name a character Orouk which is kuoro=choir backwards. I've used Orouk as an example ever since someone asked me the same character naming question during music class (not part of the teaching, a bored classmate). Picking choir was kind of a "pick what you see" thing.

If the game has only one character, I always name it PandaL, and Bamboo for the pet if there's one. For home/ship/base, I name it Bamboo Forest or simply Forest........

Now if there are multiple characters, I always name them after the bodies in solar system. For three characters, that will be Sol, Luna and Terra. Four characters, that will be the 4 inner planets or the 4 outer planets. Six characters, that will be the 6 inner most planets.

I almost always play female characters, and they are invariably named either Clarice or Frances. No real reason, I just like the sound of the names. If I'm forced to play a male character, he usually becomes Francis.

Most of the time I just make something up on the spot, a few I remember are:
Maille
Thurba (started as Thurbaxa, then I decided Thurba Axehand sounded better)
Berdane
Sanni ("Hammercut" added as a last/clan name if applicable to the setting)
Mirthe Ardenn
Meran Ardenn (these two were originally created to be sisters)

... I find female names to be much easier than male, on the other hand, I more often choose female if possible for some reason. These were all created for World of Warcraft, but some have been used later in other settings as well.

Latin names for animals works also, based on character:

Erminea
Ursidae
Lupus
Felis
Vulpes
Ranidae
Rangifer
Castor
Zapus

etc

In single player games I generally don't care, and just slap my keyboard like so: sadh.
In multiplayer games I have various generic names I've used over the years like Sheepdragon, Bnlgoi (actually a friend of mine who slapped his keyboard and made that up) and Doublewookie.

If it's a game with only one player character, I just input my own name. If it's a party-based RPG where I can create each party member from scratch, I'll sometimes name them after characters fantasy/fiction novels, like A Song of Ice and Fire, and then give them similar classes and abilities. I've found that it enhances my immersion.

1. Steal the first name from somewhere and stick "of [insert place here]" to the end. Hence my D&D character (a rogue) is Garreth of Avernus - Garreth being a slight modification from Garrett, the famous thief from Thief, and Avernus being where his ancestor came from since he's a tiefling.

2. Steal the first name from somewhere and stick "the [insert descriptive word here]" to the end. Create something like Garrett the Thief or Prince Ludwig the Indestructible.

3. Steal the first and last name from separate sources and create something relatively unique, like Roland Othello, my current NWN2 character.

I used to reuse names in the past, which sometimes lead to some complex and rather boring weirdness which bothered no one else but myself, so I abandoned recycling at some point.

I just usually go with Diseased (first part of Diseased Project, my main moniker on the internet, which I sometimes shorten as DProject, such as in here...so no, my user name doesn't have anything to with Deus Ex) or a shortened version Dise, which could be thought as a semi-Finnish sounding nickname type.

If I have to name more than one person when starting a game, I'm usually in deep shit. I've got no imagination in that field.

Usually names from books that tend to stick in my head.

Or named after myself, my gf, my best friend and his wife.

I tend to just use Wishbone. Occasionally I use names from various books I've read.