The best replacement for tantalum is electrolytic.

The best alternatives to tantalum are rated as following:
★★★★★  electrolytic
★★★★  ceramic
★★  ceramic capacitor
★  ceramic capacitors
★  x5r
★  aluminum electrolytic
★  electrolytic capacitor
★  aluminium capacitor
★  electrolytic capacitors
  mlcc
  aluminum capacitor
  aluminum capacitors
  ceramic cap
  ceramic esr
  niobium oxide
  ceramic caps
  electrolytic cap
  tantalum

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Speaking about tantalum, one probably shouldn't forget about electrolytic.

Other search terms related to tantalum and their ratings are:
★★★★★ electrolytic
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tantalum
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