Are there any specific examples of laws that would continue to be in force under this provision?
No, there are no specific examples of laws that would continue to be in force under this provision provided in the context. The context states that all laws in force immediately before the appointed day in the territories comprised in the State of Sikkim or any part thereof shall continue to be in force therein until amended or repealed by a competent Legislature or other competent authority, but it does not provide specific examples.