The prominent, and the heretofore focused on, Gothic architecture is the original style from France. However, as Gothic spread, it blended with localized styles, or even other styles imported to a certain area.
Italian Gothic
Italian Gothic styling was imported from the Burgundy region in modern France. It was a more streamlined take on Gothic than the structures built in the Paris area, with no decorative figures (bye-bye gargoyles) or stained glass. Rather than a focus on high ceilings, the Italian variant focused on open line of sight within the cathedral, removing supporting pillars and decorative walls. Pointed arches and vaulted ceilings were still essential.
Venetian Gothic
Another particular style developed in Venice, where the Gothic pointed arches and foils were blended with Byzantine and Moorish influences, forming one of the most decorative styles in Venetian history. Tracery, used in Northern European Gothic to support only stained glass, was used in Venice to support the entire building, which served the dual purpose of increasing design appeal without adding weighty decorative. Because of the limited space in Venice, the buildings were often built with more levels than most buildings of the era. This style in particular was revived towards the end of the Gothic Revival, often for city buildings with multiple levels.
Brabantine Gothic
In contrast to the restraint practiced in Italian Gothic, Brabantine Gothic buildings were extremely stylized. The defining aspect was their use of limestone or sandstone, softer stones that allow for highly-detailed carving but erode easily. Brabantine developed in the Low Countries; interestingly this variety moved beyond its nonsecular origins, some of the most ornate examples were town halls.