Are there samples where one is lobbying but not rent seeking, another is lobbying rent seeking and bribing, another is one but not the other two, and via versa?
As I wrote in my answer to your other question about rent-seeking: Rent-seeking is a motive while bribing and lobbying are acts. When one does lobbying or bribing, rent-seeking might or might not be their motive.
When one lobbies for a specific political change, they might be accused of doing it for rent-seeking if the change they are lobbying for would result in them gaining more money without also increasing their value for society.
For example: A widget maker lobbies for lowering the taxes for widget makers. In order to gain wide support for this proposal, the widget maker would argue that this isn't in his personal interest but in fact in the interest of the whole society:
"If I would pay less taxes, I could sell my widgets for a lower price. Everyone likes cheap widgets, so this would be a benefit for everyone."
A political opponent might then accuse the widget maker of having ulterior motives:
"Widget prices are controlled by the invisible hand of the market. If you would pay less taxes, you would have no incentive to lower your prices. All it would do is increase your personal profit margin. You are just rent-seeking.
The political opponent might then make a counter-proposal:
"If you are so interested in making cheap widgets available to everyone at the cost of the tax payer, why not have the government pay a subsidy to the customer when they buy a widget?"
The widget-maker would then reply:
"Aren't you one of my best customers? You are just interested in getting free money from the government for buying the widgets you would buy anyway. Now you are the one who is rent-seeking."
The politician listening to that argument might then think:
You are both annoying me. I won't do either and use that tax money to raise my own salary. I need that money to build my new personal golf course which I need to relieve all that stress I have from listening to greedy rent-seekers like you all day. And when I am less stressed, I can make better decisions for the good of the country. So raising my own salary is totally not rent-seeking because in the end it benefits everyone, right?!?