It can be kind of hard to tell from photos.
Your house plans (blueprints) would tell you for sure, presuming the house was built faithfully to the plans. You really should have a good look at the plans, or get somebody knowledgeable to look at this in person. Or both.
Do you know which direction the joists are running? Floor and ceiling joists will be perpendicular to the load bearing walls (or beams!), not parallel to them. If the joists pass across the top of the wall (or beam) unbroken, then the wall is possibly not load-bearing, depending on your joists, the length of the span after you remove the wall, and the load on the floor above.
If the ends of the joists are resting on the wall or beam, then it is definitely load-bearing.
if there isn't another floor above this one, and you have engineered, prefabricated trusses holding up your roof, this won't be load-bearing. The trusses are engineered to handle the load of the roof by themselves. If they aren't engineered trusses, that doesn't apply.
Is the long common wall of the living room/dining room/kitchen directly on top of (parallel with) the long wall downstairs, and is the opening between the dining and living rooms perpendicular to that long wall downstairs? It looks like the photos might be from different directions? If so, then the common wall with the kitchen is probably the load-bearing wall, and the opening between the living and dining rooms may or may not be, depending on how the joists are laid out.
But you really should look at the plans or get somebody knowledgeable to take a look in person.
I think it is time to call a structural engineer before you take out any more studs. Once the mistake is made and you take out too many, it may too late to correct the problem or very costly to fix. If it is a load bearing wall, taking out even one without supporting the load above, could be a costly mistake.
Best Answer
You cannot really tell what is load bearing or not just from pictures of finished space. Your best bet would be if there were blue prints of the original build of the house to to analyze. Walls perpendicular to joists can very well be load bearing if there are joist that span to that partition and then overlap with another that extends to the next supporting wall.
There could be other factors to consider such as these for some examples: