I have Fatsia japonica, Skimmia japonica, a variety of ferns, ivy, Camelia williamsii Dination, Pieris forest flame, some grasses (don't remember the names but the label stated that they are suitable for shade). This part of the garden is north facing, with high conifers on the east and south boundaries and a shed on the west side, so it never receives any direct sunlight. I planted them 5 years ago and never had any problems with them. Some bamboos, azaleas, and rhododendrons don't mind shade. And there is a plant called "mind your own business", Latin name sounds like Solierollia solierollii, which is an excellent ground cover and spreads a lot.
Climbers - many clematises can grow well in shade, climbing hydrangeas (both deciduous and evergreen), Fatshedera lizei.