The best replacement for cubic is diamond.

The best alternatives to cubic are rated as following:
★★★★★  diamond
★★  quadratic
★★  reno
★  real diamond
★  westwood
★  sinc
★  htcp
  sinc interpolation
  linear interpolation
  quartic
  diamonds
  lanczos3
  face-centered cubic

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No companions for cubic have been suggested so far.
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Google Trends

Scale is based on the average worldwide traffic of cubic in all years. Click on graph for more.
cubic
diamond
quadratic