I believe lottery is only on TodayTix although other discounts can be had on that site and others. For example TodayTix is offering tickets for tonight for $55 in dress circle...that's $83 off, plus there are lots of discount codes you can use to make it even cheaper. I won the lottery last week and got an amazing seat, about 12 rows back dead centre. Amazing deal and great show.
I believe (not 100%) that when I won they asked whether I wanted 1 or 2. They called me at about 10:10am just as I was pulling into a parking lot where I probably would have lost reception.
I've only entered twice in two weeks and (not surprisingly) have not won yet. I try to only enter on days / nights when I'm without fail able to go and use the tickets; maybe if I entered every day during those two weeks the outcome would have been different.
I did it I think the 2nd or so day it started for a matinee performance and ready to retire undefeated, 1 for 1. Box-office is given a list of winning names and I paid them cash.