The verb ‘wish’ is in the English Vocabulary Profile at B1 with the meaning:
to want a situation that is different from the one that exists
There is no other entry using it with ‘would’. But there is mention in the English Grammar Profile of using ‘wish’ with past forms. ‘would’ can be considered as a past form of will, or as a subjunctive.
For example:
I just wish someone would do as much for me.
A search in iWeb for:
WISH * would *
1 WISH I WOULD HAVE 7830
2 WISH THEY WOULD HAVE 1418
3 WISH WE WOULD HAVE 860
4 WISH YOU WOULD HAVE 743
5 WISH I WOULD ‘VE 596
6 WISH THEY WOULD MAKE 505
7 WISH PEOPLE WOULD STOP 474
8 WISH IT WOULD HAVE 432
9 WISH SOMEONE WOULD HAVE 431
10 WISH THEY WOULD JUST 356
11 WISH HE WOULD HAVE 350
12 WISH THEY WOULD DO 329
13 WISH I WOULD OF 327
14 WISH THEY WOULD BRING 321
15 WISHED I WOULD HAVE 315
16 WISH IT WOULD BE 274
17 WISH THEY WOULD STOP 226
18 WISH THERE WOULD BE 225
19 WISH THEY WOULD N’T 219
WISH * would * *
1 WISH I WOULD HAVE KNOWN 933
2 WISH I WOULD HAVE HAD 576
3 WISH I WOULD HAVE DONE 533
4 WISH I WOULD HAVE FOUND 409
5 WISH I WOULD HAVE READ 317
6 WISH I WOULD HAVE BOUGHT 286
7 WISH I WOULD HAVE TAKEN 270
8 WISH I WOULD HAVE THOUGHT 262
9 WISH I WOULD HAVE GOTTEN 254
10 WISH I WOULD HAVE SEEN 245
11 WISH I WOULD HAVE BEEN 238
12 WISH SOMEONE WOULD HAVE TOLD 181
13 WISH I WOULD HAVE STARTED 156
14 WISH IT WOULD HAVE BEEN 146
15 WISH I WOULD HAVE GONE 145
16 WISH THEY WOULD MAKE A 143
17 WISH WE WOULD HAVE HAD 137
18 WISH I WOULD N’T HAVE 129
19 WISH I WOULD HAVE JUST 123
20 WISH I WOULD HAVE ORDERED 115
A2 vocabulary:
bring, just, ordered, someone