[Jim McDougall]

Intriguing topic! but not sure of exactly what you are looking into.

By colonies...do you mean Spanish? therefore Spaniards? Mexico was Spain until 1821. However in the colonial context, as with most such situations, was nominally administrated by the government in Spain, which had loosely standing regulations on weapons. While 'regulation patterns' were used of course by soldiers of the military, these were hardly definitive , for example the regulation military sword on 1721, was still use when regulations revised (?) in 1769-1772.

America was of course a British colony until 1783, but had no standing army until the Revolution and Great Britain had no regulation swords until 1796.
British regulations however described certain weapons earlier, such as the infantry hangers of mid 18th c. which were actually copies of German forms and known from depictions of uniforms which set the dates of them.


If we are going for Spanish/colonial/Mexico, here is an example of a 'military' cutlass of c. 1860s of Republic of Mexico. While the hilt is of US M1840 cavalry saber form (taken from earlier French hilts) , the blade is broad and heavy recalling the espada ancha rather than the long curved saber blades typical of these cavalry sabers.
Traditional? of course, recalling the notably traditional espada ancha
Military/ probably, used likely by government forces
Regulation? I have yet to see any sort of regulated schedule of military pattern swords for Mexico.

The espada ancha, nor any of its remarkable scope of variants, was ever 'regulation', though it may be regarded as traditional, as its form remained loosely in use, and still is to degree in Mexican machetes etc. Interestingly, in the case of this Mexican 'cutlass' (a term often interchanged with machete in vernacular contexts).

The last photo is what is typically regarded as the Spanish M1721 dragoon sword, sometimes deemed the 1769 in references as these remained in use by Spanish troops for so long. It is now thought these were likely in use at least decades prior to the 1721 year, and they remained in use through the 18th century, somewhat into the 19th.
They were prevalent throughout all the Spanish colonies, and often were the blade donors for many of the varying types of edged weapons created including espada anchas.