In preparation for the trip to Andalusia, I planned a visit to the so-called "White villages". It turned out that this does not need to rent a car or hire a taxi. If you have the desire, in the picturesque settlement can be reached by public transport. After not too long search, I have gathered here this information on routes and schedules of bus and train:

Ubrique

From Arcos de la Frontera (Bus service Los Amarillos, travel time 1:30, cost 5.50eur)

Arcos - Ubique	8:45, 9:45, 11:00, 13:30, 19:00, 19:45, 21:00
Ubique - Arcos	6:15, 6:30, 8:00, 10:00, 11:30, 12:30, 16:00, 16:30, 18:00

From Ronda (Service Los Amarillos, travel time 1:30, cost 5.25eur)

Ronda - Ubique	12:30,18:00
Ubique - Ronda	7:30,15:30

From Malaga (Bus linea 732 Los Amarillos)

	Departure	Return
Malaga	10:00, 16:00	11:00, 19:00
Carratraca	11:05, 17:05	09:55, 17:55
Ardales	11:15, 17:15	09:45, 17:45
Cuevas del Becerro	11:55, 17:55	09:05, 17:05
Ronda	12:30, 18:15	09:00 17:00
Cruce Sevilla	12:40, 18:40	08:20, 16:20
Grazalema	13:00, 19:00	08:00, 16:00
Villaluenga	13:15, 19:15	07:45, 15:45
Benaocaz	13:20 19:20	07:40, 15:40
Ubrique	13:30, 19:30	07:30, 15:30

Zahara de la Sierra

From Ronda (Bus service TGComes, 1h)

Ronda - Zahara	7:00,13:15
Zahara - Ronda	7:45,14:15

Grazalema

From Ronda (Bus Los Amarillos, 2.86e)

Ronda - Grazalema	12:30, 18:15
Grazalema - Ronda	8:10, 16:10

Acipino (Roman town)

~7km from Setenil

Setenil

From Ronda (Bus)

Monday - Friday

Ronda - Setenil	8:45,11:50,13:30,15:00
Setenil - Ronda	9:30,12:35,14:15,15:45,18:45

Saturday

Ronda - Setenil	8:45,13:30
Setenil - Ronda	:30,13:30

Gaucin

From Ronda (RENFE, 47m, 4.85e)

Ronda - Gaucin	9:18,15:46,19:40
Gaucin - Ronda	7:08,12:41,16:25

Jimena de la Frontera

From Agesiras (Bus M-170-San Pablo-Jimena-Castellar-Algeciras)

Algeсiras-Jimena	6:15,7:15,12:15,15:15
Jimena - Algeсiras	7:00,8:45,15:45,16:45