One of the problems with the Saints is that throughout the 2000 year history of the Christian Church there have simply been so many saintly people, many of whom have had the same names (often because they were themselves named after an earlier saint e.g. St. John of God was almost certainly names after one of the first two Sts. John [the Evangelist or the Baptist]).
There have been a number of Ss. Juliana, some of whom have been officially or unofficially been given a patronage:
The earliest mentioned Sts. Juliana were martyrs. There are records of a number of pairs of martyrs including Sts. Paul & Juliana, Sts. Juliana & Cyrenia, and Sts. Leo & Juliana. They were all killed in the persecutions of the early centuries of the Church, and no doubt it was from these St. Juliana that later Julianas took their Baptismal/Given names.
A slightly later Saint Juliana, was St. Juliana of Nicomedia (or of Cumae) who was also martyred, however she was martyred probably close to 100 years after Juliana and Paul, some time in the 4th Century. She is venerated as a patron saint of the sick (especially in the Netherlands).
In the 8th Century, there was a St. Juliana of Pavilly, a nun. However she was not made a patron saint.
In the 12th Century Another St. Juliana came onto the scene St. Juliana of Liège/of Mt. Cornillon (She is remembered with both of those epithets). She has not been made a patron saint of anything in particular, however she was probably the person who most encouraged the promulgation of the Feast of Corpus Christi.
Later, in the 13th Century, another: St. Juliana Falconieri. She was the foundress of the Servite Third Order of Sisters/Nuns. They were an order who cared for the sick and the dying, and other corporeal works of mercy. She remained a superior of the order for many years until she herself lay dying, and a miracle was performed at her passing. She is, like her namesake from Nicomedia is also remembered as a patroness of the Sick and of those with bodily ills.
In the 15th Century, there was St. Julian of Norwich,whose name could just as easily have been St. Juliana of Norwitch (England). She was a great Mystic of her time. She, however, other than probably being considered the patron saint of Norwitchitself, has not been granted a patronage.
The Russian Orthodox church venerates a 17th Century lay woman St. Juliana of Lazarevo (or Juliana of Murom) who is considered a model example of a Lay person living a saintly life within marriage.
There are also a few other minor Ss. Juliana which are of less moment.
If you know her biography, & she inspires you, you will want her for your patron at Confirmation.
The Patron Saint Inex lists no patron saints of bears.
Saint Lillian is not a patron saint as per the Patron Saint Index.
As per the Patron Saint Index, there is no patron saint of wrestlers. However, Saint Sebastian is the patron saint of all athletics and athletes.
A patron saint is supposed to be a protector in the Catholic religion. Patron Saint Angelico is the patron saint of artists. A patron saint is a protector of life.
As per the Patron Saint Index, Saint Cedd is not a patron saint at this time.
Saint David is not a patron saint of England. He is the patron saint of Wales.
The Patron Saint Index lists no patron saint of dinosaurs.
Babylas is a saint but not a patron saint.
Mellon is a saint but not a patron saint.
Saint Cocca is not a patron saint.
Saint Noel Chabanel is a saint but not a patron saint.