The closest alternative to o4 Mini High is Claude Opus 4 — comparable intelligence (25.5 vs 25.6); for a cheaper option, Claude Sonnet 5 (batch) runs $1.00/M vs $1.10/M; and the best open-weight substitute is Kimi K3.
Claude Opus 4 is the closest alternative to o4 Mini High, with an Intelligence Index of 25.5 (o4 Mini High scores 25.6) at $15.00 per million input tokens.
Yes — Claude Sonnet 5 (batch) costs $1.00 per million input tokens versus $1.10 for o4 Mini High, while staying within ~8 points of its Intelligence Index.
Kimi K3 is the strongest open-weight alternative to o4 Mini High — downloadable from Hugging Face and self-hostable, scoring 57.1 on intelligence.