In my current experience:
- o3 is the bestest and my go-to, but its strength comes from it combining reasoning with search - it's the one model you can count on finding things out for you instead of going off vibe and training data;
- GPT 4.5 feels the smartest, but also has tight usage limits and doesn't do search like o3 does; I use it when I need something creative done, or switch to it mid-conversation to have it reason off an already primed context;
- o4-mini / o4-mini-hard - data transformation, coding stuff that doesn't require looking things up - especially when o3 looked stuff up already, and now I just need ChatGPT to apply it into code/diagrams;
- gpt-4o - only for image generation, and begrudgingly when I run out of quota on GPT 4.5
o3 has been my default starting model for months now; most of my queries generally benefit from having a model that does autonomous reasoning+search. Agentic coding stuff, that I push to Claude Code now.