I might be wrong, but it seems like there's a slight conflict in your example.
The 事 in らしい事 is ambiguous and unspecific, telling a person to do "something" like a father/student in general. Following it with something specific that must be done doesn't seem right.
To fix it, how about dropping the 事 and turning らしい into an adverb? That should give you the specific "Do [blank verb] like X" that you're looking for.
For example:
たまには大学生らしく勉強した方がいい。
"You ought to act like a college student every once in a while and study."
"Once in a while, you should study like a college student."
I'm not fully sure about this, but if you wanted to keep the らしい事 consruction, it seems like you could do that by turning 勉強 into an example of something that should be done by using とか or something similar.
遊んでばかりしないで。たまには、勉強とかなんとかいう大学生らしい事をしなさい。
"Don't just play around all the time. Act like a college student and study or something every once in a while!"
There are multiple ways to get across "like X" or "something befitting X," so maybe somebody will be able to explain an easier or more natural alternative to what I've suggested.