Sorry for the delayed answer.
Whimbrel ( never saw in Germany, only in California and South Pacific )
It's a common breeder in Lapland and in Kuusamo. Try scanning fields and different kinds of open bogs.
Black-tailed Godwit ( I saw once )
Tens of pairs breed at Liminganlahti near Oulu. Visit the birdwatching tower at Virkkula, for example (a telescope and some patience might help).
Wait until dusk (something like 11 PM), the males start their displaying flights then (also early in the morning is good). It's a common breeder in the Oulu area, but becomes scarcer northwards.
Jack Snipe ( never seen )
It's often quite difficult to find, although it's relatively common in Lapland. The males display often at night, but they're not easy to hear.
A very common breeder in Lapland, if you know the calls you'll find one easily.
Caspian Tern ( saw twice in California )
It's possibly a bit difficult to find a Caspian Tern in June that far north. Try sea watching at the Oulu area, I don't know the exact breeding locations.
Artic Tern ( never seen )
It's a very common species in Lapland and at the Arctic Ocean. You can't miss it.
Should be easy to find at the Arctic Ocean. The island of Hornøya at Vardø is a good place (also for e.g. Brünnich's Guillemot), you can see the birds also from the mainland side if you cannot afford to visit the island.
Lesser-spotted Woodpecker ( saw once )
It occurs even in northermost Norway, but it's easier to find in the Oulu area. Hower, I suspect that it's not too much easier to find than in Germany.
Wryneck ( saw 25 years ago )
The species has declined very steeply during the last decades. You need to know the call if you want to find one. They don't call after late June.
Shore Lark ( never seen )
The species doesn't breed in Finland anymore. You can find it in Norway for example on the tundra or even along the main roads close to the shore (will perhaps require some luck, though).
Spotted Flycatcher ( never seen )
It's a very common species in entire Finland. Again, learning the call will make finding one easier. It breeds in all kinds of forest, often close to human settlement.
Pied Flycatcher ( saw once 2 years ago )
The same applies as for Spotted Flycatcher. Try looking for nest boxes, quite a big proportion of them are occupied by Pied Flycatchers.
Common Scoter ( saw once 2 years ago )
It breeds scarcely at small lakes in Lapland.
Velvet Scoter ( saw once 2 years ago )
For example the birdwatching tower at Vuotunki in Kuusamo is a certain place, but you can find this species at many other lakes in Northern Finland also. Common Scoter is much rarer in Kuusamo as a breeder, but in early June there are still migrants around.
Scaup ( saw once this year )
Breeds at small lakes in Lapland, but is quite scarce. You can possibly find some birds at the Arctic Ocean, too.
Spotted Eagle ( never seen )
Only one pair breeds in Finland and the location has not been disclosed.
Gyr Falcon ( never seen )
It's a very rare breeder in Finland, easier to find on the Norwegian side (but still scarce).
You'll need a guide to show you that species.
Great grey Owl ( never seen )
The same applies as for Ural Owl. Chance encounters are pretty rare.
It's a scarce breeder in Northern Finland. With good luck you might run into one. I don't know any certain breeding sites, and they vary from year to year.
Willow Grouse ( never seen )
It's quite common in Lapland, but often somewhat difficult to find. Before mid-July they call quite actively early in the mornings. You can also see one from your car crossing the road.
It breeds for example at the Oritkari area in Oulu. Do not disturb breeding Arctic Terns and other birds.
Broad-billed Sandpiper ( never seen )
It breeds at bogs in Lapland, but is quite difficult to find. Knowing the call will help, but it's still difficult. Try scanning flocks of migrating waders if you find any.
Red-necked Phalarope ( saw once at Mono Lake in California )
You should be able to see this species. For example Matolampi in Kuusamo is a good place, but it can be seen on many other lakes also. Big flocks can be seen at the Arctic Ocean during migration (for example at Vadsø and Nesseby).
Siberian Tit ( never seen )
Try for example at the feeder at the cafeteria "Neljän tuulen tupa" about 15km north of Kaamanen along the road to Utsjoki. It can of course be found elsewhere, too.
Rustic Bunting ( never seen )
Learn the song and calls. It's somewhat scarce, and breeds often in boggy terrain (not on open bogs, forest is required).
Lapland Bunting ( never seen )
Walk along the tundra in northernmost Lapland.
It's a scarce breeder at the bif fields in the Oulu area. It doesn't occur in Lapland.
Scarlet Grosbeak ( saw once 2 years ago )
It's a common breeder in the Oulu and Kuusamo areas. Learn the song.
Pine Grosbeak ( never seen )
They sometimes visit the feeder at "Neljän tuulen tupa" (see above).
Parrot Crossbill ( never seen )
It's a somewhat nomadic species, and could be find almost anywhere.
Siberian Jay ( never seen )
The feeder at the parking place at Valtavaara in Kuusamo is a famous place, but it's relatively common in Lapland.