Draped and tailored garments have been around since the beginning of garments themselves... Below are some examples of these kinds of garments from different times, cultures, and parts of the world.
Tailored Menswear has been the "go-to" for mens' garments since tailoring was first developed, and we still find versions of mens' tailoring to this day. Here is a photo of a typical tailored mens' outfit from 1850-1915.
Tailoring was also seen in womenswear throughout time, particularly in France. One period that stands out is PRE-REVOLUTIONARY France, during the reign of Marie Antoinette. She was known for her extravagances, one of which was clothing... custom tailored clothing consisting of tight corsetry and precise measurements.
Perhaps best known for their tailored garments is SAVILLE ROW in England. A street full of custom tailors and the development of "bespoke" tailoring, this infamous street was alive and thriving up until very recently, where tailors are slowing being driven out by mass consumerism. One such modern tailor-driven designer to inhabit the street is the infamous PAUL SMITH, a must have for any discerning male... Here is a suit from one of his recent collections.
The LOINCLOTH, the first means of easily covering oneself, was common in ancient Egypt. Here, we see a drawing of Syrians in their peasant loincloth draped on their bodies...
TOGA and other means of DRAPE, literally, were also quite common in Greek and Roman times as a full piece outfit. There were many ways of wearing and draping these pieces of cloth, it was a science unto itself, but this is where draping really came into it's own in fashion terms... Here is a Roman marble statue from ancient Roman times, and this style of drape belongs to that period...
The SARONG was one non-western development of draping, coming from the really hot areas like Africa and several island nations. To wear a sarong today is still a common practice, not only among those native people but among many others who venture into "hot" territory. Alfred Shaheen was hugely influenced by the sarong style and his garments were quite popular in the 50s-60s, here's one look from his many designs in sarong style.