Can a binomial distribution have negative x values? The Poisson distribution makes a big deal that its great for modeling "Counts" of stuff (aka counts of monthly users) because its a non negative discrete distribution.
Well, aren't Binomial and Bernoulli distributions also non negative?
I can't think of any discrete distributions that can have negative x values. (Normal distribution i believe is a continuous distribution so it doesn't count)

A less intuitive but important example for a discrete distribution with negative support would be the distribution of (unit or dollar) sales for a particular product at a given point of sale, conditional on various predictors like the day of the week, time of the year, promotions etc.
This is discrete because most products are sold by units (and therefore, dollar sales are also discrete). It has potential negative support because of product returns. Anecdotally, US consumer electronics retailers have quite a problem with big screen TVs that are bought right before the Super Bowl and returned for a full refund right after the game.
