I'm still can't decide, but the program's coming along nicely.

Here are the suggestions so far. The names at the top were suggested more than once. The numbers show how many times.

Legion (9)
OpenBox (9)
Hydra (3)
Pandora's Box (3)
Dragon (2)
iBox (2)
Chimera (2)
Moobox
imultibox
boxos
hateusbox
wecheatbox
zillionbox
rockbox
smoothbox
smartbox
bombbox
OpenBoxer
iBox
iBoxer
uBox
oBox
Expresso
Poop Box
OpenMultiBox
Rockin-Sockin-Ro-box
Framba
Fremba
redbox
FOSBE
Re-Pressinator
Keyleidoscope
Keyfraction
Keyspersal
Split Pressinality
Hit Box
OmniBox
Sir Boxalot
IntelliBox
Dynabox
Mutliple Choice
Outerspace
Poly
Polybox
Box^n
PolyGAMEy
Sybil
Ossbox
Fossbox
Litterbox
Centurion
Biggus Dickus
Sourcebox
MBOSS (multi box open source standard)
Freebox
Deja Vu
Magrathea
Hotbox
HotOpenBox
Rabbit
Cockroach
Mitosis (how cells reproduce)
Meosis
MMMBox
Team
Replication
EZmode
altcontrol
altcontroller
shrodingersbox
CoBoxing
SchizoBoxing?
FOMBS (Freddies Opensoucre Multi-Boxing Software)
RocksBocks
RoxBoxx
inneroctohknclone
SlaveDriver
Master
CattleProd
BullWhip
Cowboy
Shadow
Echo
Mirror
Parrot
Mime
Multiplicity
Voltron
Typhon
Vas Deferans
Platoon
Shazam
Boxer Shorts
Vitruvian
Kali
Durga
Fagballs
Conspiracy