1. she didn't want to go for shopping any more. ¶
2. she didn't want to do anymore for shopping.

1. She didn't want to go for shopping anymore. [Here, "shopping" is a noun. It means, for example, that she didn't want to collect items like food, clothes and other buyable items. Note that the sentence should begin with a capital letter. Also, "anymore" is all one word because it refers to time. "Any more" (two words) refers to quantity: "Would you like any more tea?"]
1A. She didn't want to go shopping anymore, [Here, "shopping" is acting as a verb.]
2. She didn't want to do any more shopping. [Here, use "any more" - see explanation above.]

1. tThese funny, small animals have long ears and brown, grey or white bodies.

Yes, correct use of the word "small".
Watch out for capital letters and the appropriate use of commas.

2. tThese funny, little animals have long ears and brown, grey or white bodies.

Yes, this is also correct.
Watch out for capital letters at the beginning of sentences and the appropriate use of commas.
So, "small" and little" mean the same thing and can be used interchangeably. However, sometimes, people prefer to use "little" if they wish to show emotion: "The poor, little boy was hungry and thirsty."
Also, it easier to compare "small" whilst speaking: small, smaller, smallest; in contrast to "little, littler, littlest".

1. They ate seven sandwiches and four fruit pies first.

This seems fine. However, it is a good idea to separate a time word/ time phrase from the rest of the sentence by means of a coma: "They ate seven sandwiches and four fruit pies, first." Alternatively: "First, they ate seven sandwiches and four fruit pies." The word "first" is really an adverb here, so consider giving it its proper construction: "Firstly, they ate seven sandwiches and four fruit pies."

2. They ate seven of sandwiches and four fruit pies first.

This sentence would not seem out of place if a word like "types" or "kinds" were being implied after the word "seven". Consider: "They ate seven (types/ kinds) of sandwiches and four fruit pies, first."
You also hear people saying things like: "I'll have seven of your apples and two of the bananas for my lunch."
You can also say: "They ate a quantity of seven sandwiches and four fruit pies, first."
However, with your own sentence, people are more likely to say, "They ate seven sandwiches and four fruit pies, first."

Help me to understand English! ☘️

1. sShe didn't want to go for shopping any more. ¶
2. sShe didn't want to do any more for shopping.

The first one means that she wanted to go shopping, but then changed her mind and is not going to go shopping. The second one means that she is in the middle of shopping and wants to stop.

1. tThese funny small animals have long ears and brown, grey or white bodies.

This is grammatically correct, but much more common to say "funny, little animals."

2. tThese funny little animals have long ears and brown, grey or white bodies.

This is the way a native English speaker would say it.

2. They ate seven of sandwiches and four fruit pies first.

First one is correct.