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Interference describes different waves superposing to form a resultant wave of greater, lower, or the same amplitude. Normally, it involves interaction of waves that are correlated (coherent) with each other, either because they come from the same source, or because they have the same or nearly the same frequency. Interference effects can be observed with all types of waves, e.g., light, radio, acoustic, surface, or matter waves.

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Why is thin oil on water colorful but thick oil is not?

In essence, what you have is a fabry perot etallon. The number of resonant frequencies are D=n*lambda/2 (n integer) with D the thickness of your oil. When D is thick, there are a lot of lambda's that …
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