When done properly you can animation cancel almost all your abilities together. Cast E W right after one another then instantly R Q as quickly as you can.
E R Q can be chained together to cancel the animations. E and instantly R Q AA, then quickly use W followed by an AA.
To all in R then W once in range. Walk up and E Q AA instantly, followed by using AA's until your Q is back up to use.
To Flash engage R then W, use E then instantly F into Q AA.
When chasing an opponent use W then instantly Flash and E Q AA as fast as you can.
Cancel your E animation by using an AA instantly after followed by W Q.
A normal trade will AA then instantly Q as soon as the damage goes through, then quickly E W and AA again.
E W Q can be chained together to cancel the animations. E and W instantly after followed by Q AA.