Waste container lid assemblies (100) configured for attachment to a base (200) having a lid body (110) and cap portion (140) slidably connected by a tether (150). The lid body having an opening (112) sized to accept medical waste and restrict access to prevent individuals from reaching into the waste container through the opening. A slot (114) is in the lid body to permit slidable movement of the tether through the slot such the cap can be moved from a resting position in which the opening is configured for receiving waste to a closed position such that the cap portion covers the opening.