Along with Kathmandu for weird offsets is Australian Central Western Standard Time (UTC +8:45), used in a tiny area of Australia with the largest town being Eucla (population 37). Being mainly within Western Australia (which doesn't use daylight savings) but partially within South Australia (which does use daylight savings) there has also been informal use of UTC+9:45

Historically there was also Dublin mean time (UTC -00:25.21) and Warsaw mean time (UTC+1:24)