The best replacement for 2k13 is 2k12.

The best alternatives to 2k13 are rated as following:
★★★★★  2k12
★★★★★  2k14
★★★  madden 13
★★★  live 13
★★★  2k14 ps3
★★★  fifa 13
★★  show 13
★★  2k11
★★  2k14 graphics
★★  nba live 13
★  2k14 nba
★  nba 2k12
★  nba 2k14
★  mlb 13 the show
★  2k14 wwe
★  mlb the show
  mlb the show 13
  mlb 2k12
  wwe 13
  nhl 13
  nba live 2013
  mlb13 the show
  mlb 2013 the show

Your alternative for 2k13 is not listed? Suggest!
Speaking about 2k13, one probably shouldn't forget about 2k12 controls.

Other search terms related to 2k13 and their ratings are:
★★★★★ 2k12 controls
You have in mind a companion for 2k13 and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of 2k13 in all years. Click on graph for more.
2k13
2k12
2k14