Two bins is not enough
Many offices just have two waste bins, one for general waste and one for recyclables. General waste is usually directed to landfill and the user is charged by weight (or per bin). Disposing to landfill is not an environmentally sustainable option. Any organisation aiming for improved sustainability will need to reduce the amount of waste going to the general bin. This will also reduce waste charges.
The two bin arrangement, it can be improved upon by the addition of a composting bin. Many people think that the composting bin is just for teabags, apple cores and the like and dismiss the use of composting bins as being of little value. However, in most areas, paper towels and napkins can also be included. The diversion of these items from the general waste bin should make a substantial reduction to the quantity of waste going to landfill and also reduce waste charges.
A box for disposal of batteries should be included, perhaps in a common area such as the canteen. Even in an office environment, there can be a substantial quality of batteries. When full the box can be taken to a local recycling centre. In addition, many shops such as Tesco will accept used batteries.
Waste Electrical and Electronic Equipment
Better known as WEEE, this includes light bulbs, electrical cable, PCs, keyboards, mobile phones. This cannot go to landfill so have a box for this. Again, when full the box can be taken to the recycling centre. Note that many charities will take back PCs.