Proxy Insight has published their report on proxy voting in 2021. The most significant findings:

The five largest institutional investors increased their support of environmental shareholder proposals by an average 13 percentage points between the 2020 and 2021 proxy seasons, compared with four percentage points for all investors.
The top five backed 100% of climate transition plans that companies put up to a vote, while only Fidelity supported a majority of shareholder proposals to adopt annual “say on climate” proposals at U.S. and Canadian companies.
Support for diversity proposals from the five investors increased by an average of 30 percentage points.