They were my second concert as well - The Warfield, San Francico, '84, with Mercyful Fate & Exciter opening.
Artists I’ve seen the most would be either Bob Mould or Robyn Hitchcock (solo and with various bands they were in).
I went to Woodstock in my dad and went home in my mom. 
Hey, I was at that show. It was pretty violent what with the punks and metalheads in close quarters.
I was going to come in to say that probably the DK’s were the band I’ve seen the most. A couple of dozen times around the Bay Area - frankly it was tough not to see them a lot if you were into the hardcore scene. Although I think one of the better nights was when Jello got stripped buck naked at the Elite Club, and did a few songs in his birthday suit. And he still did his crowd diving thing just the same.
There was a large amusement park about a mile from my house that booked fairly big name musical acts to come and play in this little pavillion they had and kids could dance there while the bands played. This was around 1966. I don’t remember which came first but I saw The Yardbirds (with Jeff Beck) there, and Jan & Dean, and The Kingsmen (Louie, Louie), and Mitch Ryder & The Detroit Wheels, and the Four Tops there. I would have seen Johnny Rivers there too but I met this girl there before the show who needed a ride home and, well, I never made it back.
Anyway, I saw all those acts first but in a fairly small venue. My first bigtime arena concert was Led Zeppelin in 1970.
First: Whitney Houston with special guest Kenny G, around 1987. I’ve pretty much spent the rest of my life trying to earn back the cool points I lost with this.
Most: 19 Phish shows. Also up in the teens with the Reverend Horton Heat, the Asylum Street Spankers, and the Indigo Girls. Double digits with several others.
First concert ever: Seatrain, in Wildwood, New Jersey, summer of '72 or thereabouts.
Most: well, I’ve hardly ever seen a musical act more than once. The only two that spring to mind are The Lounge Lizards, both in Paris, and the Replacements, once in Houston, Texas and once in California. Actually, for the latter it was more like ‘tried to see’: at the Texas show Paul Westerberg was too drunk to go on, the plug got pulled by the organizers, and a small riot broke out; in Cali the show was sold out by the time I got there, and I (and my date) ended up sitting outside, listening to a few songs through a partly-opened door before giving up and going home.
Mecano, in my hometown, their first tour (1982), with my cousin from Barcelona jumping and squeeing right beside me and my parents watching disapprovingly from the back. I was 14, Cousin D was 13 (both '68 vintages but she’s Autumn and I’m Spring).
I was wearing a bought-for-the-occasion outfit which didn’t flatter my body type at all, but I think my mother was so surprised to see me in something with flounces that she wouldn’t have said a word if it was leopard print (flounces do look much better on Mecano’s singer than on me as she’s got to be like half my hip width, but anyway they were in that year). The skirt got discarded pretty fast, but the Harlequin-like top was worn through HS.
BeeGees “Spirit” tour circa 1980. Yes, I danced. Both times that I went. Loved the concert, but my ears rang for days. :eek:
Extrabreit (a German new wave/post punk band probably none of you has ever heard of, but they were big in Germany), 1982 in the Stadthalle in Attendorn (a venue most definitely none of you has ever heard of :)). I was 14, and it was one of the best experiences of my life.
When I was 12, I won a radio contest that included two tickets to see MC Hammer. My mother insisted I take her, which was actually fine with me at the time (my mom was one of the ‘cool’ moms anyway). Two years later she went to see the Rolling Stones (Steel Wheels) and did not take me - I have never fully forgiven her for that.
Said MC Hammer concert ended up becoming semi-famous as the root event of one of Canada’s top-ten riots: http://www.sarahefron.com/stories/Riot.shtml
My first concert was the Animals at the Steele Pier in Atlantic City in the spring of 1968, when I was 14. The opening act was John Fred and His Playboy Band. Later that year I saw Cream at the Baltimore Civic Center, with opening acts Terry Reid and the Moody Blues.
Cheryl Wheeler, seen her nine or ten times. She puts on a very funny show.
The Rolling Stones (4) and ZZ Top (5). Twice it was The Rolling Stones with ZZ Top… sweet!
First concert I saw was Van Halen in either late 1979 or early 1980.
First concert for me was Styx on the Grand Illusion tour, which I think was about 1977. I was a freshman in high school. It was also in Louisville, Superdude, in Freedom Hall.
I haven’t been to a great many concerts in my life, and there are only a couple that I’ve seen more than once — Lyle Lovett and Junior Brown. What can I say: I guess I’m a sucker for Texas men. 
The most awesome show I went to was INXS c. 1987— but that’s mostly because I was practically in the front row. Different concert experience all together, lemme tell you.
All day festival, 1972
Electric Light Orchestra, Aerosmith, Blue Oyster Cult, ZZ Top, James Cotton Blues Band.
U2, Unforgettable Fire tour, Worcester Centrum. April 1985, I think.
First w/parents: Mac Davis in around '80.
First w/friends: Night Ranger at the Illinois State Fair in 83 or so.
First concert I ever attended was Metallica/Queensryche in 1989 in Dallas, Texas. I was taken to the show by my babysitter as I was WAY to young to be at a Metallica concert. The first show I every went to “on my own” would be Willie Nelson also in Dallas.
As far as the most times seeing one band, it would be a toss up between Metallica (12 times) and Pantera (if you count all the small local clubs before they really hit the national scene, then maybe 15-16 times).