NOTE: All listed taxi times below are based without traffic on Google Map. Please bear in mind, if there is traffic, one can be stuck easily an hour in traffic in Istanbul.
CHURCHES
Agios Dimitrios Kanavis: 230m (3mins walk)
Christos Pantepoptes: 280m (3mins walk)
Vlaherna: 300m (4mins walk)
Panagia Suda: 350m (5mins walk)
Agios Kiriakos: 550m (9mins walk)
Holy Sepulcher Metochion: 550m (9mins walk)
Chora: 800m (8mins walk)
Manuel Monastery: 950m (13mins walk)
Sveti Stefan Exarchate: 950m (12mins walk)
Panagia Paramythia: 1km (13mins walk)
Panagia Uranon: 1km (14mins walk)
Bogdania Palace: 1km (14mins walk)
St. John of Petra Monastery: 1.1km (16mins walk)
Ecumenical Patriarchate: 1.3km (16mins walk)
Pammakaristos: 1.3km (18mins walk)
Hagios Ioannis Ho Prodromos: 1.3km (19mins walk)
Andofoniti Agios Georgios: 1.4km (20mins walk)
Hagia Theodosia: 2km (5mins with taxi)
Christos Pantepoptes Monastery: 3km (8mins with taxi)
Hagia Sophia: 5km (12mins with taxi)
Hagia Irene: 8km (16mins with taxi)
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DISCLAIMER: The above listed sites are categorized based on their historical original purposes (i.e. Hagia Sophia is listed as a church), not according to their current status.