The best replacement for kpi is sla.

The best alternatives to kpi are rated as following:
★★★★★  sla
★★★★★  metrics
★★★★  metric
★★★★  kra
★★★  csf
★★★  kri
★★  bsc
★★  balanced scorecard
★★  okr
★★  measure
★  kpa
★  kqi
  benchmarking
  ksf
  kpm
  kgi
  key performance indicators

Your alternative for kpi is not listed? Suggest!
Speaking about kpi, one probably shouldn't forget about balanced scorecard.

Other search terms related to kpi and their ratings are:
★★★★★ balanced scorecard
★ erm
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