The 5565 has AMD FX 9800P while 5567 has i7 7500u. both come with 4gb GDDR5 Radeon R7 M445 gpu.
the 5565 has 16gb ram while 5567 has 8gb ram.
I am not interested in high graphic gaming but would like to play titles like The Walking Dead, life is strange, Crysis 3, tomb raider assasin creed etc...