The Boxer Rebellion
In 1900 a contingent of about 20,000 Japanese soldiers went to China
to subdue the Boxers, a violent, anti-foreigner group. Seven other
nations sent troops as well. In modern Japanese this incident is called
Giwadan Undo, but I'm not sure when this phrase was decided upon.

The phrase used on the attached bar of the official Japanese Boxer
Rebellion medal is 'Shinkoku Jihen', which translates into China
Incident. The cup below has a similar phrase: 'North China Incident' and
is dated Meiji 33 [1900], the year of the Boxer Rebellion.

The medal is quite rare, so I imagine cups from this incident are rarer.
Since it appears that there is no set phrase for the Boxer Rebellion,
one should look for the following: The old kanji for China and the date
Meiji 33. If these both appear on a cup, you can be fairly certain that it is
a Boxer Rebellion item.
Meiji 33 Nen [1900]
4 kanji, read from right to left. The first two are Hokushin (North
China) and the last two are
Jihen (Incident).
Hand-painted crane and banner, within which is inscribed 'In Honor of Good Deeds
Commemorative.' On the reverse is inscribed: 'Meiji 33 [1900] May 10th, Infantry 42nd
Regiment, 1st Battalion.'

The 42nd Regiment was in the 5th Division and, according to Wikipedia, "The 5th Division was
formed in Hiroshima in January 1871 as the Hiroshima Garrison, one of six regional
commands created in the fledgling Imperial Japanese Army...The six regional commands
were transformed into divisions under the army reorganization of 14 May 1888. As one of the
oldest Divisions in the Imperial Japanese Army, the 5th Division saw combat in the First
Sino-Japanese War. Elements of the 5th Division were the first Japanese forces to land in
Korea ...and participated in the invasion of the Liaodong Peninsula in China. It was the main
Japanese element in the multi-national coalition during the Boxer Rebellion, and received
praise from foreign observers for its bravery, professionalism and discipline."

Thanks for the help, Curt.
Gold gilt kanji that read 'In Celebration of Victorious Return'
and on the reverse 'Meiji 34 [1901]'.

Troops that served in suppression of the Boxer Rebellion
were returning to Japan in 1901. This cup could have been
for one of those soldiers.
The reverse has this: 'China, Stationed in
Peking, Infantry Takaura Tokuhei'
The kanji read 'Alliance Army Commemorative'.
A beautiful lacquered wood cup with the alliance
flags. In the center is the Imperial mirror, I think.

Thanks for the picture, Carlo.
The pattern has gold gilt blossoms and a Rising Sun, along
with wavy lines that symbolize water. There is a poem here
but I cannot read it.
Inscribed on the reverse 'Meiji 33 [1900] China Incident' and
what follows is a literal translation of the rest: 'Healing the
Pain of War Veterans' Committee, Army Soldier Sumino
Yuuhei'.
China Incident (Shinkoku jihen), using the old kanji for China
Meiji 33 [1900], using the old kanji for the numbers
Boxer Rebellion (1900) Alliance Army flags
The two large gold gilt kanji in the center that read 'Loyalty and Bravery'.

Inscribed in the bullet shape '[?] North China Incident, War Dead & Death from Illness, Living
Spirits.'The kanji here is the old kanji for China, and the phrase 'North China Incident' with this
kanji usually refers to the
Boxer Rebellion.

To the left are two other groupings of kanji, both intended to mimic the appearance of a stamp.
The one above looks like it's a name--perhaps the artist's name. The one below says
'Lacquered Goods Festival, Commemorative Badge'.