Other states provide either an online directory of State Bar members or an attorney referral directory. New Hampshire chooses instead to provide an online Lawyer Referral Service (LRS) form (with the option to call by phone). Your request will be "matched with a suitable attorney in your area." Depending on the type of case, you may be charged a $25 referral fee.
As we mentioned above, the New Jersey State Bar doesn't provide access to their member directory, but they to provide this "Attorneys by Practice" service, which are paid advertisements for attorneys. Really.