The Health and Human Rights Approach to Greenhouse Gas Pollution

State of the Climate
Climate Emergency Institute
Global warming is the global average surface temperature increase, but there are climate change indicators that better reflect the climate state, and the more indicators considered the better is the state of the climate shown.
Climate Change Tracker Indicators (experts' site)
NOAA
Climate Dashboard
Climate at a Glance​

Monthly climate reports
(US and global)

Atmospheric CO2, methane and nitrous oxide​ monthly
Atmospheric CO2 All you really need  (
Most of the heating All ocean acidification)
                                    

​Annual Greenhouse Gas Index 
Provides Atmospheric CO2 equivalent (all long-lived GHGs)
             GHG ​Radiative forcing
Copernicus
Indicators    Satellite data
Our World In Data
Climate Indicators
(One of best)
                   
Under Emissions ​​Has the GHGs Also CO2eq.
UK Met Office
Climate dashboard

Examples: Ocean heat content, Radiative (heat) forcing, Atmospheric CO2 equiv., Atmospheric CO2
'BAMS' State of the Climate authoritative, most comprehensive, detailed annual indicator report of the global climate published as a supplement to the Bulletin of the American Meteorological Society.