one meaning?!
dictionary.com has these:
1.large, as in size, height, width, or amount: a big house; a big quantity.
2.of major concern, importance, gravity, or the like: a big problem.
3.outstanding for a specified quality: a big liar; a big success.
4.important, as in influence, standing, or wealth: a big man in his field.
5.grown-up; mature: big enough to know better.
6.elder: my big sister.
7.doing business or conducted on a large scale; major in size or importance: big government.
8.consisting of the largest or most influential companies in an industry: Big steel wants to lower prices, but the smaller mills don't.
9.Informal. known or used widely; popular: Nouvelle cuisine became big in the 1970s.
10.magnanimous; generous; kindly: big enough to forgive.
11.boastful; pompous; pretentious; haughty: a big talker.
12.loud; orotund: a big voice.
13.(of clothing or a clothing design) made of or distinguished by voluminous fabric that is loosely or softly shaped and fitted: a big shirt; the big look.
14.(of a wine) having more than average flavor, body, and alcoholic content.
15.filled; brimming: eyes big with tears.
16.Chiefly South Midland and Southern U.S. PREGNANT.
17.Obsolete. very strong; powerful. –adverb
18.Informal. boastfully; pretentiously: to act big; to talk big.
19.Informal. with great success; successfully: to go over big. –noun
20.the bigs, Sports Slang. the highest level of professional competition, as the major leagues in baseball. —Idioms
21.be big on, to have a special liking or enthusiasm for: Mother is big on family get-togethers.
22.big with child. GREAT (def. 23).
In the OP, i actually meant "the band that most look and sound like Led Zep"