With IPHost Network Monitor you can run simple snmp requests against a Cisco device in your network.
cbQosCMDropPkt64
Cisco Class Based Qos ClassMap Dropped Pkt64
1.3.6.1.4.1.9.9.166.1.15.1.1.14
The 64 bits counter of dropped pkts per class as the result of all features that can produce drops (e.g., police, random detect, etc.).
Back to CISCO-CLASS-BASED-QOS-MIB MIB page.
IPHost Network monitor allows you to monitor cbQosCMDropPkt64 on Cisco device via the SNMP protocol. Download IPHost Network Monitor (500 monitors for 30 days, 50 monitors free forever) to start monitoring Cisco multiplexers right now.