I have a lot of time, so I start playing with Basketball Reference and searching for not-well known stats and records. This is what I found (just games from 1985-1986 season to 2012-13):
Most Points by a Player without missing a single shot:Gary Payton (Seattle) against Cleveland in 1995
32 PTS - 13-13 FG - 1-1 3PT - 3-3 FT
http://www.basketball-reference.com/box ... 40CLE.htmlMost Points by a Player without missing a single shot in a PO game:Serge Ibaka (Oklahoma City) against San Antonio in the Conference Finals of 2012
26PTs | 11-11 FG | 0-0 3PT | 4-4 FT
http://www.basketball-reference.com/box ... 20OKC.htmlMost Points by a Player without missing a single shot in a Finals game:Lamar Odom (Los Angeles Lakers) against Boston in 2010
12PTs | 5-5 FG | 1-1 3PT | 1-1 FT
http://www.basketball-reference.com/box ... 80BOS.htmlMost Points by a player who only play 1 game in the NBA:Oliver Lafayette (Boston) against Milwaukee in 2010
7 Points
http://www.basketball-reference.com/box ... 40BOS.htmlMost Points by a player only shooting FTClint McDaniel (Sacramento) against Milwaukee in 1996
8 Points
http://www.basketball-reference.com/box ... 00MIL.htmlJarron Collins (Utah) against New York in 2005
8 Points
http://www.basketball-reference.com/box ... 30NYK.htmlMost Points by a player only shooting 3PTRobert Horry (Houston) against Cleveland in 1996
27 Pts | 9-12 3PT
http://www.basketball-reference.com/box ... 20CLE.htmlMost FG attempts by a player who didn't scoreDino Radja (Boston) against (San Antonio) in 1993
0-14 FG | 0-2 FT
http://www.basketball-reference.com/box ... 60SAS.htmlMost Points by a player in the first game of the seasonMichael Jordan (Chicago) against (Cleveland) in 1989
54 pts
http://www.basketball-reference.com/box ... 30CHI.htmlMost Points by a player in the first game of his carrerWillie Anderson (San Antonio) against Los Angeles Lakers in 1988
30 pts
http://www.basketball-reference.com/pla ... rwi01.htmlAllen Iverson (Philadelphia) agains Milwaukee in 1996
30 pts
http://www.basketball-reference.com/pla ... sal01.htmlLamar Odom (Los Angeles Clippers) against Seattle in 1999
30 pts
http://www.basketball-reference.com/pla ... mla01.htmlMost points by a player older than 40 yearsMichael Jordan (Washington) against New Jersey in 2003
43 pts
http://www.basketball-reference.com/box ... 10WAS.htmlOldest player in score a double-doubleDikembe Mutombo (Houston) against Golden State in 2009
42 years and 289 days | 10 pts | 15 rebounds
http://www.basketball-reference.com/box ... 00GSW.htmlMost points by a player without rebounds, assists, steals, blocks, turnovers or foulsMichael Redd (Milwaukee) against Houston in 2002
29 pts
http://www.basketball-reference.com/box ... 00MIL.htmlPlayer with more minutes played and wihout points in his carreerMaurice Baker (Los Angeles Clippers and Portland) in 2005
19 minutes
http://www.basketball-reference.com/pla ... elog/2005/