What kind of pipe do you have to the net? This can make a big difference in the possible cause of your problem. Meanwhile, try these things individually to see if it will fix you next time you drop. If one of them does the trick, and you can tell me what you are using to get to the outside world, we can probably resolve this. Anyway.....
#clear ip nat trans *
#clear arp
(config-if)#shut
(config-if)#no shut
If none of those work, then power cycle or reload the router. Also, what kind on access lists did config maker put on. I don't see how it would be causing sporadic interruption of your internet connection, but I am curious as to what Cisco config maker thinks is best for your network.