I'll relegate the "obvious" failures to 2021, and them modify the prompt by forecasting for a few more years.
2021
2022
2023
2024
Needless to say, these are not high confidence predictions, even conditioned on "no return to normalcy".

The following is a pretty weak form of "2021 not a return to normalcy" but also a pretty high-probability one, even ex ante: Many institutions will turn out to have been permanently damaged by the Plague and its consequences, and will not make a full recovery in 2021 (or perhaps not at all).
A couple of examples:
[EDITED to fix a typo.]
Low grade smouldering domestic insurgency instigated by the de facto Shadow President In Exile.
Rural hospitals continuing to be overwhelmed after urban hospitals as vaccination is not taken up sufficiently in rural areas (see the rates of flu vaccination in urban versus rural areas)
My answer is very broad. Basically, I am somewhat persuaded by this 7-minute monologue from Eric Weinstein on Coronavirus and the Accelerating Future.
…surveillance, monopolies, automation, telecommuting, next generation warfare, UBI, the future of work, the retail apocalypse, online dating, antivaxxers, the student debt crisis, supply chain vulnerability, green tech and climate change, urban homelessness. College equivalency certificates, biohacking, the retreat from globalization, collapse of mainstream journalism, Chinese ascendance, social engineering, Saudi modernization and the move away from fossil fuels in the kingdom, inclusive stakeholding, political realignment, and the problem of gerontocracy and the end of naive capitalism underpinned by U Chicago style economics…
It seems to me that even if only a handful of those things are pushed past a tipping point, it could make for a very wacky year (though not necessarily in a bad way). I don't buy Weinstein's conspiracy theory, but some of his reasoning in the monologue made me feel noticeably more uncertain about the near future.
So if 2021 and/or 2022 keep pace with 2020 in terms of wackiness (which I personally doubt), I think it will be for reasons that at least partially overlap with the above. :::
I predict that the sharp rise in unemployment and economic uncertainty has increased in incidence of some mental illnesses, in particular major depression and substance use disorders.
This will continue to negatively impact the real economy for some time: depressed people are too anhedonic to consume things they don't truly need, and the newly minted alcoholics won't be as productive as they were pre-2020.
If we're comparing things to 2019
I predict that there is a lot of pent up demand on account of people being shut up in their homes and distancing themselves. There's consumption-like stuff like eating out and going out for drinks. Then there's stuff like museums, live music, festivals, conferences, etc. that are somewhere between consumption and production. Then, there's the productive stuff like writing workshops, hackathons, jam or improv sessions, and all the other events where brains can come together to make something together. The increase in unemployment will mean more time-rich, money-poor people. Taken together, I think mid-to-late 2021 will produce a lot of new, interesting stuff: books, companies, music, ideas, etc.
Then, underneath, there's also a large changing of habits happening. People are cooking more, communiting less. In the beginning of the pandemic, most people in my group spent a ton more time watching netflix, but now it seems they're sick and tired of it and into stuff like microcontrollers, cooking, home improvement, etc. I imagine this is happening on a larger scale and will lead to a more permanent change of habits, a sort of "reset", a reevaluation of priorities, and a more accepting attitude toward non-standard lifestyles.
I predict anti-vaxxers will be a loud minority that will cause further politicization of COVID. This politicization will make it take longer to reach herd immunity and will result in bitter conflicts between people who won't (or can't) be vaccinated and businesses/institutions trying to operate safely.
Meanwhile, the unemployment rate will continue to be bad and the number of people this affects will continue to grow. Housing evictions and personal bankruptcies will continue to rise, leading to a real estate market that further exacerbates the K-shaped recovery where the wealthy buy up the cheap assets that the poor must liquidate at a loss. This recession-for-the-poor will eventually trickle up to the financial markets to a lesser extent as discretionary income increasingly dries up for the large swathes of the population in dire financial situations.
Feel free to modify the prompt into something like "why was 2021 even worse/more intense than 2020". Also go ahead and substitute 2022, if you think "the direct effects of the pandemic continue into 2021 for a while" is too boring of an answer.
Pre-hindsight rules/guidelines:
Motivation:
- Various comments on social media about how 2020 was a dumpster fire--with the apparent implication that 2021 will be normal-ish.
- Misremembering this tweet in which EY says, "I'm predicting that 2019 will be a relatively normal and boring year."
- The New Year's Wariness that was burned into my mind by this comic: