For wildlife, penguins, birds, ... you can never have a long enough lens.
I have several Olympus Zuiko lenses, (among others) the 135mm f/3.5, the 200mm f/4 with 2X-A teleconverter, the 85-250 f/5 MC and the 300mm f/4.5.
All Zuikos perform really well and in pretty much all cases they are
much better than off-brand lenses. You can't go wrong with most of them.
One specific exception is said to be the 65-200mm because that model seems to be plagued with haze in the rear element which supposedly can not be cleaned or repaired.
I have no experience with that lens but I'd advise to just stay away from it.
While I really love my 200mm f/4 and 300mm f/4.5, the Zuiko 85-250mm is the most versatile of the bunch and an excellent performer, especially considering it's a zoom lens.
Not much distortion, parfocal (you can zoom in or out without the need to change focus) and a very usable range of focal length. 250mm or 300mm is not a huge difference.
One of the best tele-zoom lenses in the affordable price-range I've used. I dare to say it's at least on par with my much more modern Canon EF 70-300mm IS USM lens image-quality wise.
Should you go with the 200mm, consider that the f/4 was designed to work with the 2X-A Teleconverter and the f/5 was not, should you ever want to buy the teleconverter.
The f/5 will work with the TC, but image quality might not be optimal and focusing might be difficult because the image can become too dark for the focusing patch to work.
The f/4 is a bit more expensive though, and a bit larger plus a 55mm filter size instead of 49mm.
Third-party lenses, while there are good ones around, generally can't keep up with Zuiko glass.
Soligor, Cosina, Vivitar, Panagor, I've tried several of them but so far the Zuikos win every time.
On the wide end, for landscape, I would consider the Zuiko 28mm f/3.5. A budget lens which gives you excellent results which are at least on par if not better compared to the more expensive 28mm f/2.8.
There's also the Zuiko 24mm f/2.8 which is even wider, but usually also much more expensive. I have both the 28mm f/3.5 and the 24mm f/2.8 and image quality is pretty similar IMO.
The 28mm f/3.5 is just much more affordable usually.
I'd just keep my eye out for any of the above Zuiko lenses on the used market, and make a decision based on what crosses your path for a reasonable price.
Ideally I'd think the 28mm f/3.5 and the 85-250mm f/5 would make a great combination for your needs, but a 200mm f/5 (or f/4) could also fit.
The 135mm, while a great portrait lens IMO, is probably too short for your intended use. Unless you pair it with the 2X-A teleconverter. But then I'd probably still prefer any of the 200mm's...