camels.
Hummingbirds
Falcons and hawks
Owls
Various songbirds
Deer
Opossums
Raccoons
Tree rats
Chipmunks
Mice, voles, and moles
Groundhogs
Fox (rarely)
Bunnies (rarely)
I’ll gladly trade tree rats with any person who has an abundance of bunnies. 
My location is south central PA just north of the MD border.
Ever see any of these?
That is cool, I did not realize there were still wild camels near Dubai.
**fachverwirrt ** I am jealous of your whales.
Are tree rats squirrels?
I posted it somewhere before, but I actually caught a baby bunny in my hands and then released it. We have no shortage of bunnies in my yard.
I’m about 10 miles from downtown LA. Besides the squirrels, we see opossums, raccoons, coyotes, and foxes with some regularity in my neighborhood. I haven’t seen them, but I’ve smelled skunks. Plus I found a mouse in my pool last week (I think he was a ginormous rat, but I was told he was a mouse; whatever). He wasn’t using water wings, so he didn’t do so well with the swimming.
Overwhelming common:
Studentus Collegius, that common sub-species of human.
Rabbits
Gophers
Wild mice
Birds (including some hawks)
Small snakes
All sorts of neat insects and moths.
Coyotes (well, I hear them. They live right outside, but they’re shy).
Squirrels
Lizards
All sorts of spiders
Not common but seen at least once:
Bobcats
Bald eagles
Black bear
Black widow & brown recluse spiders
Of all of those animals the ones that scare me the most are the rodenty ones, because they tend to carry all sorts of fun things, like plague and hantavirus.
Colibri wins. Sounds like what we used to see in Uganda. Hereabouts, we see a lot of moose in the yard, the occasional fox, ravens, chickadees, occasional bald eagles, steller jays, woodpeckers, squirrels (lots of babies this year), bohemian waxwings, salmon down at the creek a couple hundred yards from here, magpies, and the occasional Yeti.
Northeast Florida, barrier island. Only been here about 5 months. The colder weather wildlife selection seems to be changing, though there are some constants.
Dolphins
Sea turtles
gopher tortoises
river otters
manatees
alligators
snakes of all sorts, some poisonous
armadillos
bobcats
Raccoons
Rabbits
lizards
Possums
groundhogs
Bald Eagles
Red-shouldered hawks
Egrets of varying sizes
Blue Herons
seagulls
pelicans, brown and white (huge!) varieties
Around here (north of the Twin Cities, MN, USA) we get tons of birds (list will be provided if requested, but I’m not typing it out just to bore non-birders!) Of the non-birds, and seen on our 2.5 acre lot:
Deer
Rabbits
Skunk
Raccoon
Black Bear
Coyote
Red Fox
Grey Fox
Tiger Salamander
Green Frog
Leopard Frog
Chorus Frog
Grey Tree Frog
Garter Snake
Plains Hog-nose snake
Prairie Skink
Gopher
Mole
Red Squirrel
Grey Squirrel
Short-tail shrew
Masked Shrew
White-footed Deer Mouse
Little Brown Bat
(other bats survived, and no way to ID them!)
Woodchuck
More if I remember more…
(Hey, Colibri - how is the camping around there? I’m looking to set up my next birding trip…)
Guess I could have mentioned:
Trumpeter swans
Ducks
Loons
Grizzly and black bear (in some areas)
Dall sheep
Polar bear (if you go far enough north)
Caribou
Lynx
Porcupine
The OP said ‘routinely’, so many of these don’t exactly apply.
At home (Ruby Valley, Montana):
Common Loons
Trumpeter Swans (once a year, every year)
Calliope Hummingbirds
Rufous hummingbirds
Golden Eagles
Bald Eagles
Purple finches
Pelicans
Sandhill cranes
Moose
Elk
Whitetail deer
Antelope
Mule deer
Bohemian waxwings
Cedar waxwings
Yellow headed blackbirds
Redwing blackbirds
Wild turkeys
Raccons
Skunks
Wolverines (only twice)
Pine Martins
Psycho little weasels that turn white in winter
Several types of owls
ditto for hawks
Swallows
Ospreys
Downy woodpeckers
Hairy woodpeckers
Redshafted flickers
Yellowshafted flickers
Western meadowlarks
Mountain bluebirds
Western Tanagers
Yellow warblers
Assorted ducks
little Sandpiper-type birds
bigger Sandpiper type birds
Here in Vegas, uh, uhm, well, there are pigeons. 
Some people call them that. Around here we have actual tree rats. But they’re nocturnal, so you don’t see them.
I see
monkeys
one mongoose that lives near my house,
cows that wander in my yard if I don’t close the gate and crap everywhere,
goats,
chickens everywhere
an elephant that is trained to play soccer
on the weekends I go snorkeling: fish, lots and lots of fish
squirrels
raccoons
porcupines
groundhogs
chipmunks
foxes
skunks
deer
turkeys
Birds:
There’s a pair of red-tail hawks that frequent my neighborhood. There’s a really impressive Blue Heron that seems to come around about every February. The woodpeckers here look like the cartoon Woody Woodpecker version. Turkey vultures.
Four legged:
In the un-landscaped part of my property, I’ve seen a bobcat, deer, wild hogs, skunk. Someone hit a cougar down the road from here, the Sheriff had to come out and shoot it.
Other:
Tarantula. King snake.
Well, they don’t exactly wander around in the city like the kangaroos do in Sydney.
You do see them on the roads leading out of town, but they are not nearly as common as in northern parts of Oman. I am not sure here, but in Oman I am told that there are no wild camels… they are all owned by someone even if they appear to be wandering aimlessly. Oman even has a “Department of Camels Affairs” in their government.
As far as spiders, there are redback spiders in the communities on the south end of town, but in general it is not a huge problem.
All jokes aside, I believe the 'roos are starting to edge in on the outskirts, because of the drought.
Here in Sydney:
Pigeons
Seagulls
Lizards
Huge fuck-off cockroaches
Sulphur-crested cockatoos
Galahs
Saw a turtle crawling along by the railway the other week.
Junkies
At my mum’s house (or playing chicken with my car on the way there)
Rabbits
Kangaroos
Wallabies
Foxes
Brown snakes
Black snakes
Feral cats
Wild goats
Wild boar (rarely)
Here in Hampshire, England, I don’t think I’m really going to be able to compete.
Foxes - they’re everywhere, and I see at least one or two most nights as I come home in the evening.
Grey squirrels - probably the most commonly seen mammal, these Yankee imports killed off the native red squirrels long ago in this part of the UK.
Deer (red and fallow) - quite a few of these in the woods nearby, fairly regularly see them on my morning commute (by bike).
Rabbits - these seem to have undergone something of a population explosion in recent years, after myxo decimated them a while back.
Badgers - unfortunately more commonly seen as roadkill than alive.
Snakes/lizards - a few grass snakes, the occasional slow worm and little lizard up on the common in summer.
That’s about it as far as wild animals go. Oh, I often see frogs and toads in the garden too, even though we’re quite a way from the nearest open water. Any time I move a rock or log in the back garden I seem to have some kind of amphibian leaping out at me.
Also get lots of birds in the garden, as it’s fairly overgrown and unkempt. I like to tell myself that I’m leaving it as a nature habitat, rather than just being lazy. 
We usually have several nesting pairs of starlings, blue tits etc in the hedge.
I’m not sure how the whale watching is off the Jersey coast–you may need to get up to New England and out into the Gulf of Maine–but if you have a free day or two, whale watches are quite fun and not all that expensive. There are several watches out of Boston, and I’m sure there are some out of other Mass. ports. We always go out of Rye harbor in New Hampshire. Check it out if you get the chance.
Tampa:
Deer
Osprey
Pelicans
Cormorants
Seagulls (although mostly near the water)
Brown anoles
Alligators
Turtles
Gopher tortoises
Great blue herons
Egrets
Spoonbilled Ibis
Scarlet Ibis
Somekind of hawk / falcon a couple of streets over, not sure which kind.
Raccoons
Possum (mostly dead)
Armadillos
Woodlands storks
Vultures (not sure type)
Morning doves
Woodpeckers
Jays
Squirrels (although not that many as one would expect)
Rabbits
Coyote (once)
Foxes (rare)
Occasionally you’ll see dolphin, but have to really watch for them. We saw a couple corraling fish on the Homossasa a couple of years back, which was very cool, but not that close to my home. You can also see manatee around here, although it’s been a long time since I just happened across one in the wild. If you spend time looking at or in the water of course you’ll see sharks.