Here's one more answer that I've found to be pretty concise and doesn't use external packages:
import datetime as dt
import calendar
# Today, in `dt.date` type
day = dt.datetime.now().date()
one_year_delta = dt.timedelta(days=366 if ((day.month >= 3 and calendar.isleap(day.year+1)) or
(day.month < 3 and calendar.isleap(day.year))) else 365)
# Add one year to the current date
print(day + one_year_delta)