【Disorder】 , 【derange】 , 【disarrange】 , 【disorganize】 ,  【unsettle】 , 【disturb】 are comparable when they mean to undo the fixed or proper order of something.

【Disorder】 is commonly used in reference to something that depends for its proper functioning or effectiveness upon being properly ordered (see ORDER vb 1) or in good order or array.

【Derange】 implies a throwing out of proper arrangement of the parts, or of an important part, of something in which all the parts or elements are ordered with reference to each other or are so carefully adjusted or so closely related to each other that they work together as a unit.

The term usually carries a strong implication of resulting confusion or a destruction of normal or healthy conditions.

【Disarrange】 often implies little more than the changing of a fixed, neat, or perfect order of arrangement and may carry no suggestion of confusion.

【Disorganize】 implies usually the destruction of order and functioning in a body or whole all the parts of which have an organic connection with each other or have been so ordered with reference to each other that what affects one part affects every other part; the term therefore usually suggests a disordering that impedes the functioning or impairs the effectiveness of the affected system.

【Unsettle】 implies a disordering or disarrangement that causes instability, unrest, inability to concentrate, or turbulence.

【Disturb】 (see also DISCOMPOSE) usually implies a force or combination of forces that unsettles or disarranges; frequently it also suggests an interruption or interference that affects a settled or orderly course, plan, growth, or progress.