From Merriam-Webster OnLine:

pastiche
Function: noun
Etymology: French, from Italian pasticcio
Date: 1878
1 : a literary, artistic, musical, or architectural work that imitates the style of previous work; also : such stylistic imitation
2 a : a musical, literary, or artistic composition made up of selections from different works : POTPOURRI b : HODGEPODGE
- pasticheur / noun

collage
Function: noun
Etymology: French, literally, gluing, from coller to glue, from colle glue, from (assumed) Vulgar Latin colla, from Greek kolla
Date: 1919
1 : an artistic composition made of various materials (as paper, cloth, or wood) glued on a surface
2 : the art of making collages
3 : an assembly of diverse fragments [a collage of ideas]
4 : a work (as a film) having disparate scenes in rapid succession without transitions
- collage transitive verb
- collagist / noun

montage
Function: noun
Etymology: French, from monter to mount
Date: 1929
1 : the production of a rapid succession of images in a motion picture to illustrate an association of ideas
2 a : a literary, musical, or artistic composite of juxtaposed more or less heterogeneous elements b : a composite picture made by combining several separate pictures
3 : a heterogeneous mixture : JUMBLE [a montage of emotions]

bricolage
Function: noun
Etymology: French, from bricoler to putter about
Date: 1966
: construction or something constructed by using whatever comes to hand