Sorry, this will be the list answer:
- Roman legionaries post Marian reform.
- Some units in Landsknecht pike square were armed wit two handed swords in order to break opposing pike formation.
300 men of a Fähnlein would be armed with a pike [...] Experienced and
well-equipped soldiers, receiving double a normal Landsknecht's pay
and getting the title Doppelsöldner, made up a quarter of each
Fähnlein. 50 of these men were armed with a halberd or with a [...]
two-handed sword called a Zweihänder while another fifty were
arquebusiers or crossbowmen.
- Hussar type of light cavalry starting in the 18th century would be armed almost exclusively with different type of sabers based on period and country. Light cavalry armed with a lance would be called "Lancers" or "Uhlans".
-Cuirassier type of heavy cavalry as well starting late 17th century.
Cuirassiers first appeared in mid-to-late 16th century Europe as a
result of armoured cavalry, such as men-at-arms and demi-lancers
discarding their lances and adopting pistols as their primary
weapon. In the later part of the 17th century, the cuirassier lost
his limb armour and subsequently wore only the cuirass (breastplate
and backplate), and sometimes a helmet. By this time, the sword or
sabre had become his primary weapon, with pistols relegated to a
secondary function.
-Royal navy enlisted sailors in 19th century were issued cutlass for boarding actions.
In the Royal Navy it was a sword purchased by the
government and issued to ratings, the enlisted men. Officers carried
privately purchased long swords and midshipmen dirks. Seaborne
soldiers of the Royal Marines were not issued cutlasses and instead
carried bayonets for their longarms. When carrying out a boarding
action the first wave of sailors would often be issued a cutlass and
pistol for offensive action while the second wave were armed with more
defensive weapons such as the boarding pike.
-There is also a late 16th to 17th century fighting system called Rules of Montante, with some of its mutations, is specifically designed for bodyguards and fight in urban enviroment.
- Spanish Rodeleros though some other countries used had their own versions. Were short-lived military unit armed with sword and circular shield in 16th century.
[Spaniards] used small groups of sword and buckler men to break the deadlock
of the push of pike, [...]
comparable to the role of the German Doppelsöldner during the same
period. [...] however, when facing a fresh, well-ordered
pike square, they were vulnerable [...] They
were also very vulnerable to attack by cavalry, while halberdiers were
not.
Interestingly they were excessively used during the Spanish conquest of Americas
The majority of Hernán Cortés' troops during his campaigns in the New
World were rodeleros: in 1520, over 1000 of his 1300 men were so
equipped, and in 1521 he had 700 rodeleros, but only 118 arquebusiers
and crossbowm
en.