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/Peo, FreeWebSpace.net
Well access DB is not popular.
If you won't need AccessDB try www.myonehome.com
Offers:
Space: 20GB
BW: 200GB/month (they'll offer more for free later)
Databases: MySQL and ODBC
Cost 30$/month
(reseller plan)
Another try could be http://r-hosting.onestopserver.com/planD.php
Unlimited...