First, since you uninstalled Avira the avipbb.sys driver should not be present. Different antivirus drivers will conflict causing system crashes. it appears there is at least one old Avira driver still present in your system.
Second, I read your minidump file and it is error 0x7E: SYSTEM_THREAD_EXCEPTION_NOT_HANDLED
A system thread generated an exception which the error handler did not catch. There are numerous individual causes for this problem, including hardware incompatibility, a faulty device driver or system service, or some software issues.
It simply cited hardware as the problem. However, within the minidump this information was cited: IP_MISALIGNED and this is often due to memory. In my research I came across the following from a 2005 TechSpot post by cpc2004 who, in my estimation, was the best I have ever come across to read minidumps. He now only checks in on the rare occasion. Here is what he wrote to someone else concerning IP_MISALIGNED:
This is hardware problem. IP_Misaligned (Instruction Misaligned) is usually caused by faulty memory.
Suggestion
1. Check the temperature of the CPU and make sure that it is not overheat (ie temperature < 60C)
2. Reseat the memory stick to another memory slot
3. Downclock the ram
4. Clean the dust inside the computer case
5. Make sure that the ram is compatible to the motherboard
If it still crashes, diagnostic which memory stick is faulty
1. Take out one memory stick. If windows does not crash, the removed memory stick is faulty.
2. If you have only one memory stick, replace the ram