Hi, From your question you want a travel camera and you want an interchangeble lens system camera. It all depends on how much weight and bulk you are willing to carry over distance and time. Let's talk dollars and sense. For $1500 you could get yourself a fairly advanced camera with a kit lens which is sufficient for most photo taking situations that is wide angle to short telephoto but you included certain sports and that makes it somewhat harder as you can't have your cake and eat it because of budget of $1500. So a compromise is needed. Not that such cameras do not exist but merely the sensor size which translate to photo quality and whether it's all in one package fixed lens camera or interchangeble camera system vs weight or bulk.
The m43 or micro four third format is most suitable although you might heard that it is unpopular but it is a matured format nonetheless and bang for buck quality. Don't be swayed by arguments that it's a dead format. It is light and travel friendly. For $1500 You can get the Olympus EM 5 mk3 or EM10 mk4 but that's camera and kit lens. You would need a telephoto for sports like a 40 - 150mm ( 80 - 300mm equivalent ) which require more expenditure. A more sensible compromise is EM10 mk2 which is older but less advanced but at $400 currently the extra money can buy a lens or two. In fact if you buy used you can get em10 mk2 + 2 kit lenses for same amount as a new one.
You might also buy a compact camera all in one like Sony hx99
which has an equivalent 24 - 720mm zoom but with a much smaller image sensor.
The link below will offer more choices depending on your requirements and purpose.
T3’s roundup of the best travel cameras available to buy right now
www.t3.com