Wizards of Waverly Place was on the air for four seasons, from 2007 to 2012, while Shake It Up was on the air for three seasons, from 2010 to 2013. Wizards also aired a full 106 episodes, compared to Shake It Up's 75. This suggests that Wizards of Waverly Place had a longer and more consistent run, which could indicate greater popularity.
In terms of ratings, Wizards of Waverly Place tended to attract more viewers than Shake It Up. For example, the pilot episode of Wizards of Waverly Place was watched by 5.9 million viewers, while the pilot episode of Shake It Up was watched by 4.9 million viewers. Additionally, Wizards of Waverly Place was consistently ranked in the top 10 shows in its time slot, while Shake It Up was not as consistently ranked in the top 10.
Finally, in terms of cultural impact, Wizards of Waverly Place seems to have had a more lasting impact than Shake It Up. Wizards of Waverly Place has been credited with helping to launch the careers of its cast members, including Selena Gomez, David Henrie, and Jake T. Austin. The show also inspired several spin-offs and merchandise. In comparison, Shake It Up did not have as significant of a cultural impact, and its cast members have not achieved the same level of fame as the cast of Wizards of Waverly Place.
Overall, while it is difficult to say definitively which show was more popular, the evidence suggests that Wizards of Waverly Place may have been slightly more popular than Shake It Up.