The Coral brand electric sitar (and similar instruments) use a buzz plate bridge. A metal plate sits just barely under the strings. Anytime a string vibrates, it rattles against the plate, causing a sitar like sound. Sitars also have drone strings which sustain in sympathy with the notes you play.
So, one 60's trick to get a sitar like sound from a regular guitar is, get a small, pick (plectum) and weave it between the thinnest three strings - over/under/over. Slide it as close to the bridge as possible and touch up your tuning to get as close to in tune as possible with the pick stuck in the strings. You should now get a sitar-y sound on those strings. So, if you play a 12th fret harmonic on the A string and let it ring, then play a little phygrian figure, in A, on the skinny strings, you should get the basic flava. Note this works best with a smallish, skinny, but firm pick, like a mandolin pick, but others work too.
Good luck!