or - o
either...or... - o...o...
neither...nor... - no...ni...
whether...or... - si...o...
or else... - o sino...
otherwise - de otro modo

or - o

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• We'd better leave right now or we'll miss our bus.
  Es mejor que nos vayamos ahora o perderemos el autobús.
• Can you do that by yourself, or you need my help?
  ¿Puedes hace eso solo, o necesitas mi ayuda?

either...or... - o...o...

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• Either you shut your mouth and listen or you leave the class.
  O te callas la boca y escuchas, o te vas de la clase.
• That clerk is either incompetent or too lazy to be efficient.
  Ese oficinista es incompetente o demasiado perezoso para ser eficiente.

neither...nor... - no...ni...

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• The musician neither played the piano well nor sang good songs.
  El músico no tocó bien el piano ni cantó buenas canciones.
• Jack neither wrote nor telephoned.
  Jack no escribió ni llamó por teléfono.

whether...or... - si...o...

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• We must decide whether to go there today or tomorrow.
  Debemos decidir si ir allí hoy o mañana.
• Mary wondered whether to travel or to stay and save the money.
  Mary se preguntaba si viajar o quedarse y ahorrar el dinero.

or else... - o sino...

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• We have to hurry up, or else we'll miss our bus.
  Tenemos que apurarnos o de lo contrario perderemos el autobús.
• You have to pay the rent of the house, or else you will be evicted.
  Usted tiene que pagar el alquiler de la casa, o sino será desalojado.

otherwise - de otro modo

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• You'll have to hurry up, otherwise you'll be late.
  Tendrás que darte prisa, o de otro modo llegarás tarde.
• Leave right now, otherwise you'll be caught.
  Vete ahora, de otro modo te atraparán.