This answer is not comprehensive and is assuming a climate of a natural, English forest. The list is arranged in no real order.
Daily tasks
Food
1. Sort out the garden - Weed and de-snail the garden. Lay down slug traps such as beer (or any available alcohol, I would suggest cider as it is easy to make and apples are widely available) and salt. If it hasn't rained recently or there are newly planted seeds then water the plants. Depending on season and crops there will be other jobs such as harvesting, planting and removing pests from plants. Check infrastructure such as canes, bed borders and irrigation systems for damage and repair this damage.
2. Sort out animals - If they keep any animals these will need feeding (probably twice a day). Some animals might also need milking or eggs might need collecting. Animals like chickens will need locking in at night and letting out in the morning. Infrastructure such as coups, fences and feeding troughs should be checked and repaired. Animals should be checked for illness/injury and if any illness or injury is found this should be treated or the animal killed.
3. Scavenge for food - If these people trap animals then there traps should be checked and any animals removed, slaughtered and brought back to the house. Traps should be reset and/or repaired or new traps should be set. Hedgerows and the forest floor should be checked for roots, berries, nuts and edible plants. Water can be checked for freshwater shellfish.
4. Cooking - Meals should obviously be cooked and also excess meats and fish should be smoked or salted for storage. Soft fruits should be jammed or chutneyed and vegetables can be pickled. Stores should be placed in a coll cellar so that they have food for winter.
Cleanliness/personal appearance
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Personal cleaning - People should bathe downstream from any drinking water once a day/once every two days. Any wounds should be washed in boiled water. Anyone who worked with animals should wash carefully as soon as they have finished with the animals.
2. Clothing - Once a week all clothing should be washed, preferably with some form of soap. Any damaged clothes should also be patched/darned.
Repairs
1. Tools - Any damaged tools should be repaired weekly. Any knives, saws, and axes should be sharpened before and after use and checked at the end of each week. Rusty tools should be cleaned and oiled each week.
2. Buildings - Any damage to outer buildings/light damage to the house should be repaired at the end of the week or month depending on seriousness of the damage and importance of the building. Serious damage to the house should be repaired as soon as possible.
Projects/long term tasks
1. Wood - Wood should be gathered and seasoned in a log shed. This makes it burn better. Seasoning wood also makes it better for certain types of building as it is less bendy.
2. Fats/oils - The people may work on trying to press/extract animal or vegetable fat to make lamps and to give them cooking oil and a way of easily starting fires. As part of this they will need to build a press of some kind as well as build ways of storing the oils and a place to dry out the seeds or nuts for pressing.
3. Brewing - A set of vats could be set up to brew homemade cider from apples (either windfall or grown apples). This will require the building of large barrels for production along with away to store the barrels.
4. Repairs - Any longer term repairs will be carried out over time. This includes non-essential repairs such as purely aesthetic changes like repainting or replacing wooden blocking of gaps with windows. 121