Iran and Afghanistan only half-care what you do
Several nations and territories recognize partial offsets from GMT, instead of the usual full hour -- making early people on time and late people even worse, or vice versa. Actually, late people are always awful.
Iran (GMT +03:30, and GMT +04:30 in Summer), Afghanistan (GMT +04:30), Sri Lanka (+05:30), and Newfoundland, Canada (GMT -03:30, and GMT -04:30 during the Summer) are all off by half hours from neighbors.
Places that recognize 15-minute offsets include Western Australia (which uses GMT +08:45), Nepal (GMT +12:45, switching to GMT +13:45 the Summer), and New Zealand's Chatham Island (GMT +05:45).