Hello !
Well basically, you touched BASIC, Assembler and C like language which are 3 notable really different programming language syntax wise (I haven't learned the other yet so I can't speak for them), while the concept stay the same, C and BASIC are already different enough to give you a lot of adaptation capability when it come to learning others language regardless if they have a common syntax of one you already know or a syntax style you aren't familiar with.
But knowing Assembly is by far the best, as you, literally, know how the CPU itself work and you can guess what assembly code the compiler/interpreter translate the code of X language into, it give you the best adaptation ability since the pure logic of programming is already acquired, though it don't really prepare you for Object Oriented which is vastly different and other lesser popular which are different from Procedural Programming (and OOP)...
So learning Javascript will be really easy for you as the syntax is already something you are accustomed to and the difference to other languages (like how to declare variables for example) is basically still in the sphere of what you know, you will just need to learn HTML Documents which are objects, so it will be more a matter of finding and remembering them than learning them.
PHP too would be quite easy to learn for you as it too keep a lot of similarities with C like languages, and if you use it as its own language, you already have everything to just learn the difference and you are clear to go.
But for using it in websites it is different from other programming languages and you'll need to learn HTML (at least) and CSS, which are really simple and quick to learn, but it will probably be the most different language you touched from all the others you learned, it have interesting characteristics, such as allowing for syntax errors.
While your compilator will never allow you to write "if () [}" or" if () {" and not close it, in HTML where you have to write "<p>your text here</p>" to write text, something like "<p>your text here" (where you should normally write </p> to close) will still work, even plain text without that paragram code will work, it is basically an interpreted language and the browser is the interpreter, but each browser might interpret it slightly differently...
Watch the Youtube video "Where HTML beats C?" by Computerphile.
You can see the relation of HTML and CSS like the relation between a .c and a .h file, HTML tell your browser what to display and CSS tell it how to display it, and PHP is made so you literally write HTML code inside it (without using any kind of strings or functions, you could have a loop directly followed by HTML code as if it was another PHP line of code) to generate your pages, using PHP logic to make the page dynamically generated, using things like :
if (user_is_connected) { HTML code to show user avatar and account meny } else { HTML code to show the register and connect links }
PHP use databases like MySQL to get data, basically database are console command program and you simply use console commands from your code to search/write/delete datas.
And finally you have Javascript which like PHP allow to make dynamic pages, but allow to transform a page already loaded in the browser while PHP prepare it before sending it, a website where it refresh the page to show results are basically PHP where if it load new things without refreshing will basically be Javascript, though this is in theory, in reality there is a mix of both and Javascript can be used to make change as the page load, not just after, PHP is computer by servers while Javascript is computer by the client's browser and computer.
So because of the way they are all depending on each others and the unique syntax of XML/HTML and its relation with CSS which also have its own syntax, it make them totally different from anything else you ever saw, but the concept is still the same at the end and with what you know it will be really easy to learn all that, once you got all that, it is quite easy to work from here.
Short answer, you fit in a place where you can probably learn any new language without too much troubles, though some like Haskell and other Functional languages or other different paradigm or Brainf*ck which is a beast of its own are still different enough so you'll scratch your head at first until you get how they work, and HTML, CSS, PHP, database and Javascript are quite unique and require you to understand how they work alone and together, but it will still be easy to learn for you.
Though Quantum programming might be the HUGE exception, that's literally the Elephant in the room, as not only you don't work in binary anymore, and you have to know some heavy maths to really exploit it properly, but also the way Quantum physic work is totally unintuitive.
There are other exceptions, like ternary computer, Superscalar processor, VLIW, EPIC or even the DNA computing and other weird things that make the massively parallel computing of Super Computer actually "normal" and almost identical to regular computer in term of programming.