Lids with nose accommodations configured to reduce the need for a consumer to tilt his or her head during consumption of a beverage. In one aspect, a lid assembly includes a pivotable flap that pivots relative to a lid (and beverage container) as the container is tilted toward the beverage consumer. The configuration of the lid is such that it creates a clearance for a consumer's nose, thus enabling the container to be tilted back further without impacting the consumer's nose. In another configuration, the pivotable flap is biased toward a closed position, but is easily displaced by the consumer's nose. In another lid configuration, a cavity is formed toward a rear portion and the lid is sized and shaped to accommodate a consumer's nose. Disposable lids are also provided, including a lid with an aperture toward the rear of the lid with a cover that may be peeled back or removed and a lid with a perforated floor that is configured to enable the consumer to create a flap and/or aperture toward the rear of the lid.