So, about these "nonexistent" transitional fossils?

Invertebrates to Fish Pikaia -- extremely primitive notocord Conodont-- ray fins and a notocord Haikouichthys -- A notochord with separate vertebral elements Arandaspis -- Well armoured jawless fish Birkenia -- primitive, jawless fish or fishlike vertebrate Guiyu -- The oldest known bony fish Jawless... show more Invertebrates to Fish

Pikaia -- extremely primitive notocord
Conodont-- ray fins and a notocord
Haikouichthys -- A notochord with separate vertebral elements
Arandaspis -- Well armoured jawless fish
Birkenia -- primitive, jawless fish or fishlike vertebrate
Guiyu -- The oldest known bony fish

Jawless fish to shark

Cladoselache -- intermediate between jawless fishes to sharks
Tristychius -- another sharklike fish.
Ctenacanthus -- first primitive shark.
Paleospinax -- sharklike jaw, primitive teeth.
Spathobatis -- First ray-like fish.
Protospinax -- Ancestral to both sharks and skates.

Jawless fish to bony fish

Acanthodians -- similar to early bony fishes, possibly a transitional form.
Palaeoniscoids -- primitive bony fishes.
Canobius, Aeduella -- more advanced jaws.
Parasemionotus -- combination of modern cheeks with more primitive features, like lungs
Oreochima -- first teleost fish
Leptolepids -- ancestor of modern teleost fish. Lung transformed into swim bladder.
Amphistium and Heteronectes -- transition to the eye location of flatfishes.

Fish to amphibian

Paleoniscoids -- both ancestral to modern fish and land vertebrates.
Osteolepis -- modified limb bones, amphibian like skull and teeth.
Eusthenopteron, Sterropterygion -- fin bones similarly structured to amphibian feet, but no toes yet, and still fishlike bodily proportions.
Panderichthys, Elpistostege -- tetrapod-like bodily proportions.
Obruchevichthys -- fragmented skeleton with intermediate characteristics, possible first tetrapod.
Tiktaalik -- a fish with developing legs. Also appearance of ribs and neck.
Acanthostega -- famous intermediate fossil. most primitive fossil that is known to be a tetrapod
Ichthyostega -- like Acanthostega, another fishlike amphibian
Hynerpeton -- A little more advanced then Acanthostega and Ichtyostega
Labyrinthodonts -- still many fishlike features, but tailfins have disappeared
Lungfish--A fish-that has lungs.

Primitive to modern amphibians

Temnospondyls
Dendrerpeton acadianum
Archegosaurus decheni
Eryops megacephalus
Trematops
Amphibamus lyelli
Doleserpeton annectens
Triadobatrachus
Vieraella
Karaurus

Amphibian to reptile

Proterogyrinus
Limnoscelis
Tseajaia
Solenodonsaurus
Hylonomus
Paleothyris

Early reptile to turtle

Captorhinus
Scutosaurus
Odontochelys Semitestacea -- partial formation of a turtle shell, showing how the hard underbelly formed first.
Deltavjatia vjatkensis
Proganochelys

Early reptile to diapsid (dinosaurs and modern reptiles except for turtles)

Hylonomus
Paleothyris
Petrolacosaurus
Araeoscelis
Apsisaurus
Claudiosaurus
Planocephalosaurus
Protorosaurus
Prolacerta
Proterosuchus
Hyperodapedon
Trilophosaurus
Reptile to mammal
Paleothyris
Protoclepsydrops haplous
Clepsydrops
Archaeothyris
Varanops
Haptodus
Dimetrodon
Sphenacodon
Biarmosuchia
Procynosuchus
Dvinia
Thrinaxodon
Cynognathus
Diademodon
Probelesodon
Probainognathus
Exaeretodon
Oligokyphus
Kayentatherium
Pachygenelus
Diarthrognathus
Adelobasileus cromptoni
Sinoconodon
Kuehneotherium
Morganucodon -- a transition between "mammal-like reptiles" and "true mammals".
Eozostrodon
Morganucodon
Haldanodon
Peramus
Endotherium
Kielantherium
Aegialodon
Steropodon galmani
Vincelestes neuquenianus
Pariadens kirklandi
Kennalestes
Asioryctes
Cimolestes
Procerberus
Gypsonictops

Dinosaur to bird

Allosaurus --A large therapod with a wishbone
Coelophysis
Compsognathus --A small coeleosaur with a wishbone
Eoraptor
Epidendrosaurus
Herrerasaurus
Ceratosaurus
Allosaurus
Compsognathus
Sinosauropteryx
Protarchaeopteryx
Caudipteryx
Velociraptor
Deinonychus
Oviraptor
Sinovenator
Beipiaosaurus
Lisboasaurus
Sinornithosaurus
Microraptor -- a feathered bird with distinctly dinosaurian characteristics, such as its tail.
Archaeopteryx -- the famous bird-with-teeth.
Rahonavis
Confuciusornis
Sinornis
Patagopteryx
Ambiortus
Hesperornis
Apsaravis
Ichthyornis
Columba


AND THIS IS A SMALL LIST!

Sources:

http://www.talkorigins.org/faqs/faq-transitional/part1a.html
http://www.nature.com/nature/journal/v456/n7221/full/nature07533.html
http://www.britannica.com/EBchecked/topic/66626/Birkenia
http://adsabs.harvard.edu/abs/2003Natur.421..526S
http://en.wikipedia.org/wiki/Birkenia
http://en.wikipedia.org/wiki/Transitional_fossil
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