I do not know what does the phrase "the most popular wedding songs" actually mean. Who is supposed to measure it up, according to what method and why? But all this social-cultural anthropology mumbo-jumbo aside I will say this:
There must be many folk wedding songs in Poland - very much all are regions related. For example, a quick googling points to a page "Gliwickie Metamorfozy", with all sorts of Gliwice regional songs,
gliwiczanie.pl/Biblioteka/Roger/spis.html
Chapter 9 here, gliwiczanie.pl/Biblioteka/Roger/piesniweselne.html
brings the words of nine wedding songs from counties: Rybnickiego, Lublinieckiego, Oleskiego, and Kozielskiego, such as this one:
Wyjrzyj jeno za okienko,
Jak tam wilczek skacze;
Znać, że jeszcze żony nie ma,
Bo się nie kłopoce.
Ożeń się ty, ożeń ty się,
Ty leśna bestyja,
A będziesz potém tak biedny
Jako jestem i ja.
Wilczysko się ożeniło,-
Uszy opuściło!
Au, au, au, au,
Cóż mi potém było?
Google shows 12,000 entries to "pieśni weselne" - too many to analyze them of. You definitely should narrow the field somehow, otherwise you end up with too many "dance polo", redneck stuff.
Wedding toasts are another matter. And again, some are short, some long and boring, some are poetic, and some are plain stupid. But then who cares when all are drunk, anyway?