What are the exact specs you are using?
MinGW 4.8.1 from the link in the main thread
Boost 1.54 (or 1.55 - happens on both)
QT 5.1.1 (or 5.2.0 - happens on both)
Miniupnpc 1.8
OpenSSL 1.0.1e
BerkeleyDB 4.8.30 NC
Litecoin source code from GitHub

(happens even with all needed DLLs in the directory)
Before I tried with:
- QT 4.8.5 and MinGW 4.8.1
APPCRASH on the start (not because of missing DLLs)
- QT 4.8.5 and MinGW 4.6.2
Could not compile BerkeleyDB
Gonna try another coin now.
Had a look at litecoin-qt also.
Using the released 0.8.6.1 source it worked almost out of the box. Just had to replace