In Buckinghamshire, the Kimblewick Hunt was met with cries of “Shame on you! Shame on you!” as it set off from the village of Cholesbury.
And in Hereford, security guards were brought in to protect Ledbury Hunt as it set off in Herefordshire.
The majority of Boxing Day hunts in England went ahead on Monday because Sunday is traditionally not a hunting day.
Hunt attendees were this year encouraged to take lateral flow tests, staying at home if positive, and wearing masks when in enclosed spaces.
Most hunts in Wales were cancelled because of restrictions limiting gatherings to 50, while meets in Scotland were restricted to no more than 500 participants and attendees.
It has been illegal to hunt foxes with a pack of dogs since 2004 but the practice has been replaced with trail hunting, in which hounds follow a scent to replicate the traditional hunt without killing a fox.
But critics say it is a “smokescreen” for illegal hunting and calls have grown for it to be banned on public land, which were joined this week by Labour.