Here is a list of producers of ready made, black box PBXs that are based on Asterisk (in no particular order):

Asterina - Business VoIP by avalaris

http://www.asterina.at/

• Business PBX units based on embedded, noiseless (no fans, no harddisks) units, Rackmount versions also available, including
• Web based administration GUI, including multi customer functionality (optional)
• SIP/IAX/ISDN trunking
• custom made dialplan design available (upon request)

Astimax.de

http://www.astimax.de

• Administrator interface for full and comfortable configuration of all pbx functions
• Web based user interface for changing personal configuratin options
• Integrated FMC (Fixed Mobile Convergence)
• Supports almost most functions of Snom phones
• Hot-Desking / Free Seating
• Video Calls

Fonality

Fonality page

Iareanet - Internet Area Networks, Inc.

Iareanet Sells Custom IP PBX - http://www.iareapbx.com

• Digital Receptionist
• Custom Greeting
• Dynamic Operator
• Music Info on Hold
• Dial By Name Directory
• Time Based Behaviors
• Central Phone Number
• On-line Management
• Complete System Monitoring
• Call Detail Records
• On-line Configuration
• Switchboard
• Caller ID
• Conferencing
• Conference on Demand
• Real-Time Monitoring
• Voicemail
• Personal Greetings
• Message Notifications
• Pick-up Anywhere
• Call Queues
• ACD Queuing
• Dynamic Agent Presence
• Status Information on Hold
• Queue Logs
• Load Distribution

Ipitomy

http://www.ipitomy.com

IP Cortex, UK

Sells * based units targeted at the business PBX replacement market. Based on small dedicated low power 1U or fanless wall mounted hardware with the following features:

• Single and Quad ISDN2 or ISDN30 variants
• Web based UI with separated PBX, company and user admin functions for multi-tenant buildings etc
• All the normal * features managed through UI
• Billing
• Automated provisioning when used with snom and Sipura/Linksys products (plug the phone into the network, configure the PABX via the UI, reboot the phone and start making calls)
• Group pickup

NeoNova BV, The Netherlands.

Highlights:

• Full Multi tenanting, fully hostable.
• Hot-Desking
• Fully automatic phone provisioning (many phones supported)
• Least cost routing
• End-user web interface, brandable

Signate

http://www.signate.com

Switchvox

http://switchvox.com

Sysmaster

http://www.sysmaster.com

Telephonyware

http://www.telephonyware.com

The Voip Connection

http://www.thevoipconnection.com/

Vonik

http://www.vonik.com/

Voismart

http://www.voismart.it

Vlines accessVoIP

http://www.vlines.de

• End-user web interface
• Unconditional 24/7 operating.
• System is build without rotating components und fan (full noiseless)
• economical wattage (only 11W power consumption)