Here is a selection of useful knots to learn

Bowline Knot Tutorial
Clove Hitch Tutorial
Square or Reef Knot Tutorial
Blood Knot Tutorial
Clinch Knot Tutorial
Palomar Knot Tutorial
Sheet Bend Tutorial
Taut Line Hitch Tutorial
Two Half Hitch Tutorial
Fisherman’s/Anchor Knot Tutorial
Figure of Eight Knot Tutorial
Carrick Bend Tutorial

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Many thanks to http://www.fix.com/blog/knot-tying-guide/  for this post picture.