Planning fallacy.
Being more automatically strategic.
Not falling for mysterious answers.
More consciously noticing the difference between positive/normative statements, or when they are mixed up.
More consciously noticing connotation.
Noticing yourself rationalizing.
There might be others, availability bias. :p
Related to: What Do We Mean By "Rationality?"
Rationality has many facets, both relatively simple and quite complex. As a result, it can often be hard to determine what aspects of rationality you should or shouldn't stress.
An extremely basic and abstract model of how rationality works might look a little something like this: