(A) General Provisions. In every kitchen, family room, dining room, living room, parlor, library, den, sunroom, bedroom, recreation room, or similar room or area of dwelling units, receptacle outlets shall be installed in accordance with the general provisions specified in 210.52(A)(1) through (A)(3).
(1) Spacing. Receptacles shall be installed such that no point measured horizontally along the floor line in any wall space is more than 1.8 m (6 ft) from a receptacle outlet.
(2) Wall Space. As used in this section, a wall space shall include the following:
(1) Any space 600 mm (2 ft) or more in width (including space measured around corners) and unbroken along the floor line by doorways, fireplaces, and similar openings
In the theather room why not just ensure that there is a receptacle within 6 foot of one of the doors that opens into that room and then 12 ft on center.
The wall between the toy room and the equipment room will require a receptacle.
Three 15 amp circuits will be enough for every receptacle and light down there.
One twenty for the bathroom receptacle and another for the bath receptacle and then if your heart desired one twenty for the TV and other equipment and that is it.
One 15 amp general purpose receptacle wired on one of the rec. or light circuits for the wet bar. What you have drawn is enough electrical power to fix the entire neighborhood drinks. When I saw what you had drawn my first thought was “damn drunks”