hope that this topic won't be too much "off topic" but i'm looking for some ideas for new tattoos, and i would like to know if there is a source that is not fictional nor "new age" oriented where i can find the meaning that each animals has in the medioeval art.

to better clarify, a source that can potentially explain which kind of virtues was attribiuted to the different animals, like the coureage for the lions and so on. i'm aware about some of the commonest but i'm curious to learn more,

OK, I'll start us off with Fiore de Liberi (Fiore Furlan de Civida of Austria that is of Sir Benedetto of the noble family of liberi from Premariacco of the diocese of the Patriarch of Aquilegia :D ), who wrote with the appropriate pictures (source being Getty Manuscript, Exiles translation):-

Quote:

Advisement Better than me, the lynx, no creature sees. And by that I always place with compass and measure.

The lynx rules a swordsman's mind...

Quote:

Daring None carries a more daring heart than me, the Lion, but of battle I make an invitation to others.

Lion on the left (for the heart)...

Quote:

Quickness I am tiger I am very prepared to run and to turn so that the arrow from the sky will not excel me.

On the right (typically the striking hand)...

and

Quote:

Strength Elephant I am and a castle I carry for a load. And I do not kneel nor lose balance.

For the swordsman's feet and legs.

Is that the sort of thing you are after?

Perhaps you should examine several Bestiaries? The Aberdeen Bestiary has the texts and translations for each animal.
https://www.abdn.ac.uk/bestiary/contents.hti

Alan- yes, the Fiore animals are an option that i'm considering especially the elephant with the castle that i really love!

Mart- the bestiary is very interesting, thank you for the link!

i'm looking mainly for animal that has a meaning of father and mother and family,

I doubt there's any animal that serves all of these symbolic functions. Remember, too, that a significant portion of animal symbolism either had religious meanings, or else had symbolic qualities that men might desire: courage, nobility, valour, and the like. I could be wrong, but I would be somewhat surprised if there was an animal linked symbolically to families in the Middle Ages. As far as I know, a family is not the kind of thing that animals served as symbols for- I don't think it's the way medieval people would have conceived of animals.

Here's a link with heraldry symbolism: http://www.digiserve.com/heraldry/symbols.htm

The pelican was a common heraldic symbol of parental love, often depicted wounding its own breast to nurture its young with its blood.

the pelican was also my choice for the concept of parental love,

i have read that the bear was a symbol of motherhood and the stag was a symbol of fatherhood, but i'm not sure 100%

Can't go wrong with a Griffin...