Step 1: Read each statement carefully.
We must judge four statements (A, B, C, D) about reproduction and pick the set that is fully correct.
Step 2: Test statement A.
In bryophytes and pteridophytes, spores are made by meiosis, so they are always haploid. This is true, so A is correct.
Step 3: Test statement B.
Chlamydomonas makes motile zoospores that swim using flagella, not non-motile ones. So B is false.
Step 4: Test statement C.
Plants made by vegetative or asexual means are genetically identical to the parent and are called clones. This is true, so C is correct.
Step 5: Test statement D.
Asexual reproduction is indeed common in simpler organisms because it is fast and needs only one parent. So D is correct.
Step 6: Pick the right combination.
The true statements are A, C, and D, while B is wrong. So the correct set is A, C, D.
\[ \boxed{\text{A, C, D}} \]