Polish language
Ground Force / Air Force / Space Force ranks
General - Generał
Lieutenant General - Generał broni
Major General - Generał dywizji
Brigadier General - Generał brygady
Colonel - Pułkownik
Lieutenant Colonel - Podpułkownik
Major - Major
Captain - Kapitan
Lieutenant - Porucznik
Sub-Lieutenant - Podporucznik
Ensign - Starszy chorąży sztabowy
Adjudant-Major - Starszy chorąży
Adjudant-Chief - Chorąży
Adjudant - Młodszy chorąży
Chief Sergeant - Starszy sierżant
Sergeant 1st Class - Sierżant
Sergeant - Plutonowy
Corporal 1st Class - Starszy kapral
Corporal - Kapral
Private/Soldier 1st Class - Starszy szeregowy
Private/Soldier - Egowy
Aviator - Lotnik
Spacer - Kosmicznik
(from kosmiczny, "of space", "of the cosmos" + the suffix -nik for person)
Navy ranks
Admiral - Admirał
Vice Admiral - Wiceadmirał
Rear Admiral - Kontradmirał
Flotilla Admiral - Admirał floty
Ship-of-the-line Captain - Komandor
Frigate Captain - Komandor porucznik
Corvette Captain - Komandor podporucznik
Captain Lieutenant - Kapitan marynarki
Lieutenant - Porucznik marynarki
Ensign 1st Class - Podporucznik marynarki
Ensign 2nd Class - Starszy chorąży sztabowy marynarki
Master-Principal - Starszy chorąży marynarki
Master-Chief - Chorąży marynarki
Master - Młodszy chorąży marynarki
Second Master - Starszy bosman
Quartermaster 1st Class - Bosman
Quartermaster 2nd Class - Bosmanmat
Corporal 1st Class - Starszy mat
Corporal - Mat
Seaman 1st Class - Starszy marynarz
(quite literally "Senior seaman/mariner", "Elder seaman/mariner")
Seaman - Marynarz
Czech language
Ground Force / Air Force / Space Force ranks
General - Generál
Lieutenant General - Generálporučík
Major General - Generálmajor
Brigadier General - Brigádní generál
Colonel - Plukovník
Lieutenant Colonel - Podplukovník
Major - Major
Captain - Kapitán
Lieutenant - Poručík
Sub-Lieutenant - Podporučík
Ensign - Praporčík
Adjudant-Major - Hlavní pobočník
Adjudant-Chief - Nadpobočník
Adjudant - Pobočník
Chief Sergeant - Nadrotmistr
Sergeant 1st Class - Rotmistr
Sergeant - Četař
Corporal 1st Class - Desátník
Corporal - Slobodník
Private/Soldier 1st Class - Vojín 2. stupně
Private/Soldier - Vojín 1. stupně
Aviator - Letec
Spacer - Vesmírník
The Czech (and Slovak) translation for the originally Latin-derived word
Adjutant is
Pobočník, which can also translate more generally to "Aide" (in the broadest sense, including civilian), while in the purely military sense, it's an Adjutant. I couldn't find translations for the other adjutant forms, so I did some logical derivatives for the Czech and Slovak versions of the ranks.
In plenty of cases when the Adjutant wasn't a separate higher rank, as in the case of your fictional set of ranks, it would be among the higher sergeant-type ranks, i.e. the
rotmistr/
rotmajster, sergeant first class and similar (i.e. not the ordinary sergeant but the slightly higher ranks above it). In your case, adjutant is higher than all the sergeant ranks, so I treated it as a separate rank in terms of terminology.
Navy ranks
Admiral - Admirál
Vice Admiral - Viceadmirál
Rear Admiral - Kontradmirál
Flotilla Admiral - Admirál flotily
Ship-of-the-line Captain - Kapitán řadové lodi
Frigate Captain - Fregatní kapitán
Corvette Captain - Korvetní kapitán
Captain Lieutenant - Nadporučík
Lieutenant - Poručík
Ensign 1st Class - Praporčík 2. stupně
Ensign 2nd Class - Praporčík 1. stupně
Master-Principal - Vedoucí loďmistr
Master-Chief - Nadloďmistr
Master - Loďmistr
Second Master - Bocman
Quartermaster 1st Class - Proviantník 2. stupně
(if logistics quartermaster), Navigační důstojník 2. stupně
(if navigational quartermaster)
Quartermaster 2nd Class - Proviantník 1. stupně
(if logistics quartermaster), Navigační důstojník 1. stupně
(if navigational quartermaster)
Corporal 1st Class - Desátník
Corporal - Slobodník
Seaman 1st Class - Námorník 2. stupně
Seaman - Námorník 1. stupně
Slovak language
Ground Force / Air Force / Space Force ranks
General - Generál
Lieutenant General - Generálporučík
Major General - Generálmajor
Brigadier General - Brigádny generál
Colonel - Plukovník
Lieutenant Colonel - Podplukovník
Major - Major
Captain - Kapitán
Lieutenant - Poručík
Sub-Lieutenant - Podporučík
Ensign - Práporčík
Adjudant-Major - Hlavný pobočník
Adjudant-Chief - Nadpobočník
Adjudant - Pobočník
Chief Sergeant - Nadrotmajster
Sergeant 1st Class - Rotmajster
Sergeant - Čatár
Corporal 1st Class - Desiatnik
Corporal - Slobodník
Private/Soldier 1st Class - Vojak 2. stupňa
Private/Soldier - Vojak 1. stupňa
Aviator - Letec
Spacer - Vesmírnik
Navy ranks
Admiral - Admirál
Vice Admiral - Viceadmirál
Rear Admiral - Kontradmirál
Flotilla Admiral - Admirál flotily
Ship-of-the-line Captain - Kapitán radovej lode
Frigate Captain - Fregatný kapitán
Corvette Captain - Korvetný kapitán
Captain Lieutenant - Nadporučík
Lieutenant - Poručík
Ensign 1st Class - Práporčík 2. stupňa
Ensign 2nd Class - Práporčík 1. stupňa
Master-Principal - Vedúci loďmajster
Master-Chief - Nadloďmajster
Master - Loďmajster
Second Master - Bocman
Quartermaster 1st Class - Proviantník 2. stupňa
(if logistics quartermaster), Navigačný dôstojník 2. stupňa
(if navigational quartermaster)
Quartermaster 2nd Class - Proviantník 1. stupňa
(if logistics quartermaster), Navigačný dôstojník 1. stupňa
(if navigational quartermaster)
Corporal 1st Class - Desiatnik
Corporal - Slobodník
Seaman 1st Class - Námorník 2. stupňa
Seaman - Námorník 1. stupňa
Hungarian language
Ground Force / Air Force / Space Force ranks
General - Vezérezredes
Lieutenant General - Altábornagy
Major General - Vezérőrnagy
Brigadier General - Dandártábornok
Colonel - Ezredes
Lieutenant Colonel - Alezredes
Major - Őrnagy
Captain - Százados
Lieutenant - Főhadnagy
Sub-Lieutenant - Hadnagy
Ensign - Zászlós
Adjudant-Major - Adjutáns-hadnagy
Adjudant-Chief - Adjutánsvezető
Adjudant - Adjutáns
Chief Sergeant - Főtörzsőrmester
Sergeant 1st Class - Törzsőrmester
Sergeant - Őrmester
Corporal 1st Class - Szakaszvezető
Corporal - Tizedes
Private/Soldier 1st Class - Őrvezető
Private/Soldier - Közkatona
Aviator - Repülős
Spacer - Űrhajós ("Spacer", "Spaceship-crewman") or Űrkatona ("Space-soldier")
Navy ranks
Admiral - Tengernagy
Vice Admiral - Altengernagy
Rear Admiral - Ellentengernagy
Flotilla Admiral - Flotilla tengernagy / Flotta tengernagy
Ship-of-the-line Captain - Sorhajókapitány
Frigate Captain - Fregattkapitány
Corvette Captain - Korvettkapitány
Captain Lieutenant - Sorhajóhadnagy
Lieutenant - Fregatthadnagy
Ensign 1st Class - Tengerészzászlós
Ensign 2nd Class - Tengerész-hadapród
Master-Principal - Főtörzshajómester
Master-Chief - Törzshajómester
Master - Hajómester
Second Master - Fedélzetmester
Quartermaster 1st Class - Törzsszállásmester
("Staff Quartermaster", if logistics quartermaster), Törzskormánytiszt
("Staff Nav-Officer", if navigational quartermaster)
Quartermaster 2nd Class - Szállásmester
("Quartermaster", if logistics quartermaster), Kormánytiszt
("Nav-Officer", if navigational quartermaster)
Corporal 1st Class - Tizedes
Corporal - Őrvezető
Seaman 1st Class - Tengerész, első osztályú
Seaman - Tengerész