Public authorities in Denmark are obligated to provide citizens without a MitID access to all public services. So even though many public services now require you to log in with MitID, you can always request access to the same service without using MitID by contacting a public authority, for example, using a paper form.
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If you have someone in your network whom you trust and who is willing to assist you, you can grant them power of attorney. With power of attorney, you give the chosen person permission to act on your behalf. They log in as themselves and not as you. This means that it will be visible what actions they have taken on your behalf.
If you need assistance from others, an alternative option could be to utilize powers of attorney. There are different powers of attorney for different self-service solutions.
In the private sector, you should contact each individual company to inquire about the options for accessing their self-service solutions without MitID and to ask about the possibility of granting power of attorney.
For example, contact your bank to find out how you can be a customer without having MitID.