What episodes in prince of tennis where there is no match?

Answer 1

That depends on how you define a match -- Just interschool matches? Do practice matches count? To cover all the bases, I'll just go over all the different arcs:
(Episodes: Arc Name - Summary)
1-10: Intraschool Training Arc - Introductory episodes and the matches that determine who the regulars are.
11-21: Fudomine Arc - The matches against Fudomine.
22-26: Seigaku Training Arc - Mostly street games, filler, and training antics. Also includes the Tezuka-Ryoma match (25-26).
27-36: St. Rudolph Arc - The matches against St. Rudolph.
37-40: Training Arc - Training, Akutsu's introduction, and the Fuji-Ryoma match (39-40).
41-48: Yamabuki Arc - The matches against Yamabuki.
49-52: Intraschool Training Arc II - Kirihara's introduction and filler in 49, and the Momo-Inui-Tezuka matches.
53-68: Hyotei Arc - The matches against Hyotei.
69-75: Tezuka's Departure Arc - A Kachiro-Arai match in 69, Kaidoh plays a match pretending to be Ryoma in 72, a Tezuka-Ryoma rematch in 74-75, and silly filler for the rest.
76-85: Jyosei Shonan Arc - The matches against Jyosei Shonan.
86-90: Recreation Arc - A Sengoku-Kamio match in 86, a Taichi-Ryoma match in 89, and filler including Bowling and beach volleyball.
91-97: Rokkaku Arc - The matches against Rokkaku.
98-115: Pre-Rikkaidai Arc - A Kirihara-Tachibana match in 101, a Momo/Kaidoh-Mizuki/Kajimoto match in 102, a Ryoma-Sanada match in 104-105, Seigaku-Hyotei matches in 110-114, and filler for the rest.
116-128: Rikkaidai Arc - The matches against Rikkai.
129-135: Recreation Arc II - A match between Ryoma and Tezuka's trainer in 130, silly filler for the rest.
136-146: Junior Selection Camp Arc - A combination of filler storylines and matches.
147-160: American Team Arc - The matches against the American team.
161-165: Recreation Arc III - Filler with a silly match in 163.
166-176: Intraschool Training Arc III - Seigaku matches in 166-171, a street game in 173, and a Tezuka-Fuji match in 174-176.
177-178: Start of Nationals Arc - Another Tezuka-Ryoma rematch.