The River Rhine forms a natural frontier and so the phrase Rhine Crossing or Crossing of the Rhine may refer to one of several crossings of it:
the Crossing of the Rhine from east to west by barbarians in 406, into the territory of the Roman Empire
several times by French troops invading Germany during the Franco-Dutch War, such as:
12 June 1672 near Tolhuis, commanded by the Vicomte de Turenne and Louis, Prince of Condé, in which Louis was severely wounded forcing the river crossing - this crossing was commemorated in the painting Crossing of the Rhine by the army of Louis XIV, 1672 by Joseph Parrocel
1673, led by Turenne
several times by French troops invading Germany during the French Revolutionary Wars:
for the first time in 1794, near Düsseldorf
on 6 September 1795, as commemorated in Louis-François Lejeune's painting First crossing of the Rhine by the French army commander by Jourdan and Kléber, at Düsseldorf in the duchy of Berg, 6 September 1795
18 April 1797, by French Revolutionary forces near Neuwied, causing to the Battle of Neuwied.
Between 27 April and 2 May 1800, 100,000 men under Jean Victor Marie Moreau, crossing to confront the Austrians, who they then met at the battle of Stockach.
the crossing from west to east by the western Allies in March 1945 during the Western Allied invasion of Germany, including Operation Plunder and Operation Varsity - British units participating were granted the battle honour 'Rhine Crossing' by the British Army