I think lists for Ottoman/Turkish vs. Turkic/Turk/Turkish should be separate, despite being essentially all one people, as it's hard to compare modern generals like Ataturk, Evren, Kivrikoglu, etc., to Alp Arslan, Bilgi Kagan, etc., and there are just too many great military hero's in the history of Turkic people. Just because many of us never heard of some of them doesn't mean they are not famous - it only means we have limited education on the issue.
Also, should they be combat-proven generals or not?
Finally, since we saw mythical leaders like Oghuz Khan included - then we should definitely include Alp Er Tunga (Afrasiyab) - the greatest known Turkic/Turanic warrior of all times, thanks to Turkish and Persian poems of 10th-11th centuries.
For Ottoman, Young Turk and Turkish generals, do not forget to include Gen. Kazim Karabekir Pasha, as well as Nuri Pasha, the brother of Enver Pasha. The former defeated Armenia and its allies (Russia, UK, etc) within one month in September 1920, and the latter helped defeat the British, Russians and Armenians in Baku in September 1918 commanding the combined "Caucasus Army of Islam" that consisted of 1,500 Turks and 1,500 Azerbaijani Turks.
Meanwhile, for Turkic generals - everyone from Turkic khaganate's founders to the founders of Khazar, Ghaznevid, Atabeg, Safavid, Afshar, Kara-Koyunly, Ak-Goyunly, Mughal, and other Turkic empires. These were outstanding military leaders - and often they fought each other, such as Ottomans vs. Safavids. It's hard to "rank" them from the top of the head - too much data is needed.
For modern Turkic generals - there is an entire generation of very famous "Russian" generals and admirals who were actually of Tatar and Bashkir origin, such as Admiral Ushakov (18 century), and more recently, Army General Makhmud Gareev (still alive).
Maj-Gen. Sabir Rakhimov, a Kazakh Turk, who was "Hero of Soviet Union" (the highest military order of USSR), and whom Stalin called his "General of Steel", killed in action in 1945.
First-ever full army (artillery) general of Muslim origin in the Russian Empire - an Azerbaijani Turk, originally from the Karabakh region of Azerbaijan, Gen. Samad Mekhmandarov. There are several early 20th century Russian books about Gen. Mekhmandarov, who was the hero of Russian defense of Port Arthur in the Pacific against the Japanese.
Second Muslim general, an Azerbaijani Turk, Artillery General Ali Agha Shikhlinski, who was known as the "God of Russian artillery" and the inventor of "triangle of Shikhlinski" - used widely in many artillery schools in Europe and Russia (it allowed to more quickly calculate and triangulate positions).
Another top full army (cavalry) general was Huseyn Khan Nakhichevanski, also an Azerbaijani Turk, who was one of only 3 "Russian" generals to refuse to switch his allegiance from the Russian Czar in 1918 (which 99% of all other Russian generals did, and thus became Soviet generals), and thus was executed by the Bolsheviks.
Maj-Gen. Hazi Aslanov, an Azerbaijani, who was twice (2) Hero of Soviet Union (the only Muslim to get the highest Soviet military distinction in WWII twice), killed in action on January 1945. The main Soviet newspaper "PRAVDA" wrote back then: "the enemy [Nazi German tanks] must be hunted down the way Aslanov does it".
And last but not least Gen. Kerim Kerimov, an Azerbaijani, who was world's first Space Forces General, Chairman of Soviet State Space Commission, and whose face and identity were top-secret and never shown, he sent into space all Soviet cosmonauts starting with Yury Gagarin. While he was more of a scientist and engineer than a combat leader, but since the space is the final frontier, he deserves a special recognition. He passed away only 10 years ago.