It seems like CEPI has taken pretty good actions (funding RNA vaccine R&D in 2018, funding Moderna in January 2020, leading COVAX). I'm excited about the plan they outline at https://endpandemics.cepi.net/:

1. Compress vaccine development timelines to 100 days
2. Develop a universal vaccine against coronaviruses
3. Develop a library of vaccine candidates against other threats

and hope the EA community will be interested in supporting it. CEPI was initially funded by the Wellcome Trust, Gates Foundation, and several national governments (Norway, Japan, Germany, India), and (according to Wikipedia) have since been supported by the EU Horizon 2020 program and the governments of Australia, Belgium, Canada and the UK.

One example might be Dominic Cummings, who is clearly very influenced by EA ideas, even if he has been somewhat (in my opinion unfairly) shunned by the EA community. It seems he was one of the major forces pushing the UK government towards more decisive action on things like lockdowns. See e.g. here or here.

Patrick McKenzie isn’t a “group”, and he probably doesn’t need your money, but he did get ahead of coronavirus impacts in Japan successfully: https://www.kalzumeus.com/2020/04/21/japan-coronavirus/

[edit; just found their donation page and they recieved considerable OpenPhil support, so not a candidate based on the OP's criteria].

One Day Sooner seem like a candidate. I don't know if they've received EA support, although at least one EA (David Manheim) works with them. I think they've done good work in bringing attention and legitimacy to the idea of human challenge trials in a pandemic situation, which seems plausibly like a very important thing for future pandemics.
https://www.1daysooner.org/

The obvious one to me is the adjacent LessWrong-style rationality community, which as a whole took this pandemic at least as seriously as we did fairly early on, and wrote useful and prescient articles like this one on the credibility of the US CDC. 

A group of us developed coviddash.org which was referenced in the NYTimes and had about ~30K visitors, directing between 10K-20K to vaccine trial screening websites or to the sites themselves. We had sites thank us for patients so we know we our counterfactual impact on trial enrollment was >0, but we are not sure of the total number we actually directed. If we accelerated just one vaccine for just one day though we probably helped save a few hundred lives. We were not funded by any EA org but some of us are EA-aligned.

I plan to write a more detailed recap/analysis on this and to discuss accelerating vaccine R&D during pandemics but haven't gotten to it yet because I already moved onto the next project...

This NYTimes Magazine article might be interesting. Its framing is basically "why did the CDC fail, and how can it do better next time?". 

It mentions some other groups that allegedly did better than the CDC. Though I don't know to what extent these groups were or were not EA-funded. E.g., it says:

The Covid Rapid Response Working Group, at the Edmond J. Safra Center for Ethics at Harvard, was one of several independent organizations that stepped in to help fill the gap. In the last year, these groups, run mostly out of academic centers and private foundations, have transformed reams of raw data — on transmission rates and hospitalization rates and death tolls — into actionable intelligence. They have created county-by-county risk-assessment tools, devised national testing strategies and mapped out national contact-tracing programs. In many if not most cases, they have moved faster than the C.D.C., painting a more accurate picture of the pandemic as it unfolded and offering more feasible solutions to the challenges that state and community leaders were facing.

I would add the New England Complex Systems Institute, particularly Yaneer Bar Yam: https://necsi.edu/corona-virus-pandemic 

In this article from January 2020, which has aged very well, they were advocating for restrictions on international movement and warning of the effect of superspreader events on estimates of R0. 

Yaneer Bar Yam also started this multidisciplinary effort to tackle covid: https://www.endcoronavirus.org/ 

Could you give examples of "allies of the EA community, groups that EAs have offered non-monetary support? And what about groups that we haven't previously funded - who stood out, such that we should aim to support them in the future?"

Edit: I think I get what you mean now based on the answers others gave above!

EAs have voted in various elections in the United States. This study adjusted for various factors and found that Republican Party power at the state level was associated with modestly higher amounts of death from COVID-19. Since the majority of EA voters have picked the Democratic Party, this can be taken as something of a vindication. Of course, there are many other issues for deciding your vote besides pandemics, and that study might be wrong. It's not even peer reviewed.

The difference might be entirely explained by politically motivated differences in social distancing behavior between Democratic and Republican citizens, although if that's the case it could still somewhat vindicate opposition to the Republican Party.

Also, the study was done before the vaccine rollout; it will be interesting to see a similar analysis from a later date.