The creature that picks locks is a Bowtruckle, originally described in Fantastic Beasts and Where to Find Them as ...
...a tree-guardian creature found mainly in the west of England, southern
Germany, and certain Scandinavian forests. It is immensely difficult
to spot, being small (maximum eight inches in height) and apparently
made of bark and twigs with two small brown eyes.
The Bowtruckle, which eats insects, is a peaceable and intensely shy
creature but if the tree in which it lives is threatened, it has been
known to leap down upon the woodcutter or tree-surgeon attempting to
harm its home and gouge at their eyes with its long, sharp fingers. An
offering of woodlice will placate the Bowtruckle long enough to let a
witch or wizard remove wand-wood from its tree.
The large four-winged bird is a Thunderbird. This creature (or rather beast) doesn't appear in the original Fantastic Beasts booklet and was, apparently, created specifically for the film.
As was the Swooping Evil
You've also neglected to mention the Murtlap (the beast that bites Jacob), described in Fantastic Beasts as ...
...a ratlike creature found in coastal areas of Britain.
It has a growth upon its back resembling a sea anemone. When pickled
and eaten, these Murtlap growths promote resistance to curses and
jinxes, though an overdose may cause unsightly purple ear hair.
Murtlaps eat crustaceans and the feet of anyone foolish enough to step on them.
And the Doxy, described as being ...
often mistaken for a fairy (see page 16) though it is a quite separate species. Like the fairy, it has a minute human form, though
in the Doxy’s case this is covered in thick black hair and has an
extra pair of arms and legs. The Doxy’s wings are thick, curved, and
shiny, much like a beetle’s. Doxies are found throughout northern
Europe and America, preferring cold climates. They lay up to five
hundred eggs at a time and bury them. The eggs hatch in two to three
weeks. Doxies have double rows of sharp, venomous teeth. An antidote
should be taken if bitten.
and the Graphorn, described as being
... found in mountainous European regions. Large and greyish purple
with a humped back, the Graphorn has two very long, sharp horns, walks
on large, four-thumbed feet, and has an extremely aggressive nature.
Mountain trolls can occasionally be seen mounted on Graphorns, though
the latter do not seem to take kindly to attempts to tame them and it
is more common to see a troll covered in Graphorn scars. Powdered
Graphorn horn is used in many potions, though it is immensely
expensive owing to the difficulty in collecting it. Graphorn hide is
even tougher than a dragon’s and repels most spells.
and the Fwooper, ...
... an African bird with extremely vivid plumage; Fwoopers may be
orange, pink, lime green, or yellow. The Fwooper has long been a
provider of fancy quills and also lays brilliantly patterned eggs.
Though at first enjoyable, Fwooper song will eventually drive the
listener to insanity and the Fwooper is consequently sold with a
Silencing Charm upon it, which will need monthly reinforcement.
Fwooper owners require licences, as the creatures must be handled
responsibly.
and Grindylows, ...
... A horned, pale-green water demon, the Grindylow is found in lakes
throughout Britain and Ireland. It feeds on small fish and is
aggressive towards wizards and Muggles alike, though merpeople have
been known to domesticate it. The Grindylow has very long fingers,
which, though they exert a powerful grip, are easy to break.
and the Nundu, previously referred to in Fantastic Beasts as a Nudu.
This East African beast is arguably the most dangerous in the world. A
gigantic leopard that moves silently despite its size and whose breath
causes disease virulent enough to eliminate entire villages, it has
never yet been subdued by fewer than a hundred skilled wizards working
together.
and the Billywig, described as...
...an insect native to Australia. It is around half an inch long and a
vivid sapphire blue, although its speed is such that it is rarely
noticed by Muggles and often not by wizards until they have been
stung. The Billywig’s wings are attached to the top of its head and
are rotated very fast so that it spins as it flies. At the bottom of
the body is a long thin sting. Those who have been stung by a Billywig
suffer giddiness followed by levitation. Generations of young
Australian witches and wizards have attempted to catch Billywigs and
provoke them into stinging in order to enjoy these side effects,
though too many stings may cause the victim to hover uncontrollably
for days on end, and where there is a severe allergic reaction,
permanent floating may ensue. Dried Billywig stings are used in
several potions and are believed to be a component in the popular
sweet Fizzing Whizbees.
The Niffler, Demiguise, Erumpent, Occamy, Clabbert, Diricawl and Mooncalf all appear in the source booklet along with a brief description of their behaviours, food sources and natural locations.
Notably, the Clabbert doesn't appear in the film although it does appear in the tie-in video game. The Marmite does make an appearance, but isn't named in the film, script or sourcebook.