This is the same problem I am having..It crashes for almost anything, cropping, full screen and exporting photos. I have no idea what to do.
Try to uncheck the "GPU Acceleration" under Preferences>Performance.
Hope this helps.
That helped. I've cropped a number of pictures without a crash. Thanks!
*EDIT* I got the GPU accel disabled by creating a new catalogue with no contents, then disabling the function, closing LR and reopening it before changing back to my normal catalogues. Now the program seems to be working fine again, albeit without the GPU accel which seemed to be working as intended last night and earlier this morning but not anymore.
Same thing's happening here on Windows 10 build 10130
Last night LR was working fine after updating, worked fine this morning as well then a little while ago it and PS wanted to update again so I let it, after which the issues began.
It will consistently crash if I try to use the crop module on any photo now, and I can't disable the GPU accel as it crashes when I try clicking the tick box there.
Lightroom version: CC 2015.1 [ 1025654 ]
License: Creative Cloud
Operating system: Windows 8.1 Business Edition
Version: 6.3 
Application architecture: x64
System architecture: x64
Logical processor count: 8
Processor speed: 2.8 GHz
Built-in memory: 12254.0 MB
Real memory available to Lightroom: 12254.0 MB
Real memory used by Lightroom: 435.9 MB (3.5%)
Virtual memory used by Lightroom: 450.0 MB
Memory cache size: 31.3 MB
Maximum thread count used by Camera Raw: 4
Camera Raw SIMD optimization: SSE2
System DPI setting: 96 DPI
Desktop composition enabled: Yes
Displays: 1) 1920x1080, 2) 768x1366
Input types: Multitouch: No, Integrated touch: No, Integrated pen: Yes, External touch: No, External pen: Yes, Keyboard: No
Graphics Processor Info:
AMD Radeon HD 6900 Series
Check OpenGL support: Passed
Vendor: ATI Technologies Inc.
Version: 3.3.13394 Core Profile Context 15.200.1023.5
Renderer: AMD Radeon HD 6900 Series
Application folder: C:\Program Files\Adobe\Adobe Lightroom
Library Path: C:\Lightroom Catalogues\LR5 2015 CC\LR5 2015 CC.lrcat
Settings Folder: C:\Users\nanon\AppData\Roaming\Adobe\Lightroom
2) Canon Tether Plugin
5) Leica Tether Plugin
6) Nikon Tether Plugin
Config.lua flags: None
Adapter #1: Vendor : 1002
Device : 6719
Subsystem : b001002
Revision : 0
Video Memory : 2032
Adapter #2: Vendor : 1414
Device : 8c
Subsystem : 0
Revision : 0
Video Memory : 0
AudioDeviceName: Speakers (Realtek High Definition Audio)
GPUDevice: not available