BSOD about 3-4 times a week. Not specific to any particular action

That's the stock Intel CPU cooler.
If you get another crash, post the full report.

Let us know how the test goes.

Good news, let us know if you get another crash.

Did you change any BIOS fan settings?
The possibilities are bad CPU cooler fan, BIOS setting, motherboard fan header.

You can try to RMA the cooler to Intel or buy a new CPU cooler.
You can get a good CPU cooler, better than the stock one, for $20-35, it's sometimes on sale.
Check for Cooler Master Hyper 212 Evo.
I would get a new cooler, it will help if you decide to OC the CPU.

Both crashes are blaming memory corruption.

Code:

STOP 0x0000000A: IRQL_NOT_LESS_OR_EQUAL
Usual causes:  Kernel mode driver, System Service, BIOS, Windows, Virus scanner, Backup tool, compatibility
Probably caused by : memory_corruption
READ_ADDRESS: GetPointerFromAddress: unable to read from fffff800034cb100
GetUlongFromAddress: unable to read from fffff800034cb1c0
 fffff680002647e0 Nonpaged pool
FAILURE_BUCKET_ID:  X64_0xA_nt!MiDeleteAddressesInWorkingSet+11b
-----------------------------------------------------------------------------------------------------------------------------------------------------
STOP 0x0000004E: PFN_LIST_CORRUPT
Usual causes:  Device driver, ?memory
Probably caused by : memory_corruption
LAST_CONTROL_TRANSFER:  from fffff800033600ec to fffff800032d9fc0
FOLLOWUP_IP: 
nt!MiBadShareCount+4c
fffff800`033600ec cc              int     3
FAILURE_BUCKET_ID:  X64_0x4E_99_nt!MiBadShareCount+4c

Which Intel RST driver do you have?
Check in Device Manager > IDE ATA/ATAPI controllers > right click the Intel listing > Properties > Driver tab, post the driver version.
Anything above version 11.​2.​0.​1006 is not recommended, there have been some known stability issues. Your motherboard support site has v11.5.0.1207 listed, this is one of the drivers known to have problems.
Intel® Rapid Storage Technology v11.​2.​0.​1006
While in Device Manager look for any yellow triangles, expand the section and post what device driver is yellow triangle.


Go to your BIOS and change these voltage settings.
Dram 1.550V
VCCSA 1.100V
Save and Exit.

From your System Event Logs:
Several of these.

Code:

Event[27679]:
  Log Name: System
  Source: Microsoft-Windows-Kernel-Power
  Date: 2012-12-28T14:54:39.537
  Event ID: 89
  Task: N/A
  Level: Information
  Opcode: Info
  Keyword: N/A
  User: S-1-5-18
  User Name: NT AUTHORITY\SYSTEM
  Computer: JFB-PC
  Description: 
ACPI thermal zone ACPI\ThermalZone\TZ00 has been enumerated.             
_PSV = 0K             
_TC1 = 0             
_TC2 = 0             
_TSP = 0ms             
_AC0 = 358K             
_AC1 = 328K             
_AC2 = 273K             
_AC3 = 273K             
_AC4 = 273K             
_AC5 = 0K             
_AC6 = 0K             
_AC7 = 0K             
_AC8 = 0K             
_AC9 = 0K             
_CRT = 379K             
_HOT = 0K             
_PSL - see event data.

This is indicating your CPU is overheating.
Use Core Temp , to check the CPU temps when at idle, under load and/or testing.
Let us know the minimum and maximum temps you get.

Check if the CPU cooler is firmly attached.
You should remove the cooler, clean off the old thermal paste, re-apply new thermal paste and re-install the cooler.

There is a possibility that this is causing your crashes.

A lot of these.

Code:

Event[25742]:
  Log Name: System
  Source: Disk
  Date: 2012-12-23T09:51:20.077
  Event ID: 11
  Task: N/A
  Level: Error
  Opcode: N/A
  Keyword: Classic
  User: N/A
  User Name: N/A
  Computer: JFB-PC
  Description: 
The driver detected a controller error on \Device\Harddisk1\DR1.

This may be due to the Intel RST driver mentioned above.