Inscribed 'Conquer Russia, Victorious Return Commemorative,
Warship Nihonmaru'.

I couldn't find much info on this ship, except that it was
British-made (1898) and it was a cruiser.
Named Ship Cups, page 7
Lacquered wood named ship cup set. This also includes the matching two-piece
stand, which is fairly rare.
The cups and stand have the owner's family crest in gold gilt. I'm not sure, but it
appears to be a variant of the zingiber (
myoga in Japanese).

The cups are inscribed 'In Celebration of Aizawa's Discharge, from all of the
Electrical Unit of the Warship Kurama'.

The bottom of the stand has the same inscription and also has a date:
'Taisho 2 [1913] May.'

Here is the Wikipedia article on the Kurama:
KURAMA.
Named warship cup with IJN and battle flag.

Inscribed 'Warship Fuji, Discharge Commemorative'.

You can read a brief history of this battleship here:
FUJI.
Here is a named warship cup with an uncommon shape.
Very rare to find a cup like this named to a ship.

Inscribed 'Commemorative, Showa 6 [1931] Warship Furutaka'.

See the Wikipedia entry on this ship here:
FURUTAKA.

I am not sure what kind of metal this is, but it isn't pure silver.
Size: 9 cm tall
Lacquered wood cup with gold gilt battle flag and IJN flag.
This is a named ship cup, the cruiser Tsushima.
Inscribed 'Warship Tsushima, Taisho 4 [1915] Imperial Coronation
Welcoming Warship Ceremony Commemorative'.

See the Wikipedia article on this ship here:
TSUSHIMA.
Named warship lacquered wood cup with gold gilt kanji that say
'Victorious Return'.
Inscribed on the reverse 'Meiji 38 [1905] October, [Armoured?]
Cruiser Nihonmaru'.
Lacquered wood named warship cup.
The gold gilt design has the IJN anchor and blossom along with two
measuring sticks.

There were two ships in the Imperial Japanese Navy named 'Tone.' The
style of the cup suggests that this belonged to a sailor on the earlier
vessel.

Here are the links to the Wikipedia articles on these ships.

HEAVY CRUISER TONE
PROTECTED CRUISER TONE

Inscribed on the reverse 'Warship Tone, From All in the Matsunaru Unit,
Gift to Nagao'.
This is from the battleship Katori.
The design is really nice: An English white ensign Navy flag
(upside-down) and a Japanese battle flag. Between these you can
see an Imperial mum and a propeller.
Inscribed 'His Majesty the Crown Prince, Trip to Europe
Commemorative, Aboard the Honorable Warship Katori'.  On the
base is a personal name: Hasegawa.

This trip was in 1922.