There's a bunch of 'em:
Packard Bell Force Desktop (1994): Tiki
NEC Versa Laptop (1995): Tiki II
HP Pavillion 8490 Desktop (1999): Tiberium
eMachine eTower 733 Desktop (2001): Tiki III
Apple iBook 500MHz Laptop (2001): Washington
Compaq 5000 Custom Desktop (2002): Tiki IV
Alienware Area-51 Desktop (2003): Amon
Toshiba P15-S479 Laptop (2003): Robin
Sager 3790-S Laptop (2004): Motoko
That's all of them except for the old IBM we used to have but I never really saw much of it. And the last six are the only ones still in use. Washington is about to be replaced completely by Motoko. Tiki III is running climateprediction, Tiki IV is running climateprediction and my proxy/mail server, Robin is my primary laptop. Amon is my parent's desktop and my occasional gaming rig. Washington is my dad's travel/office/work laptop. Motoko is my dad's christmas present which will replace Washington.
Washington as in Apple, since it's the first Mac I've ever owned. I have no idea where Tiki came from but it stuck for a long time lol. Tiki IV will be the last in the Tiki line. I promise. Tiberium after the stuff in Tiberian Sun. Amon after Amon from Witch Hunter Robin. Robin after Robin Sena from (guess!) Witch Hunter Robin. Motoko after Major Motoko Kusanagi from Ghost In The Shell: Stand Alone Complex.
Waaaaay too much info there lol but hey you asked!