As is usual, all replicators must be true replicators, and therefore be completely clean (no debris left behind), should not create wicks, agars or sparks that take an arbitrarily long time to dissipate even if they don't interact with the replicator, should not produce spaceships, and should replicate strongly (i.e removing a unit of the replicator should not result in it completely breaking down). Most replicators have a D4-symmetric phase, which is how presentation is preferred.
The periods I'm using here might seem strange, since I'm classifying these by the amount of generations it takes for four identical copies of the original D4-symmetric starting object to reappear, with only translation and no rotation, and without any additional fading junk.
Here's a starting collection, mainly sourced from my original July 2016 thread but omitting those that I've since tested and have turned out to not fit the bill for strong replication (the rules might be able to be tweaked to make those replicators strong at some scale, though):
p1
Code: Select all
x = 1, y = 1, rule = B1e3e/S
o!Code: Select all
x = 1, y = 1, rule = B1c3c/S
o!Code: Select all
x = 18, y = 15, rule = B3578/S23
3$7bo$6bobo$5bobobo$6bobo$7bo3bo$10bobo$9bobobo$10bobo$11bo!
[[ STEP 24 ]]Code: Select all
x = 47, y = 5, rule = B3/S23-ac4eiy6
b3o39b3o$o2bo39bo2bo$o3bo37bo3bo$o2bo39bo2bo$b3o39b3o!
[[ STEP 56 ]]Code: Select all
x = 5, y = 5, rule = B3-jny/S1c23
2bo$bobo$2ob2o$bobo$2bo!
[[ STEP 16 ]]Code: Select all
x = 21, y = 5, rule = B3578/S23-c
2bo15bo$b2o15b2o$2o2b2o9b2o2b2o$b2o15b2o$2bo15bo!
[[ STEP 58 ]]Code: Select all
x = 43, y = 17, rule = B3-c/S236c7c
4b3o29b3o$4bobo29bobo$4bobo29bobo$2b2ob2ob2o23b2ob2ob2o$5b2ob2o23b2ob
2o$2bo3bob2o23b2obo3bo$b2o4bo27bo4b2o$3o37b3o$o41bo$3o37b3o$b2o4bo27b
o4b2o$2bo3bob2o23b2obo3bo$5b2ob2o23b2ob2o$2b2ob2ob2o23b2ob2ob2o$4bobo
29bobo$4bobo29bobo$4b3o29b3o!
[[ STEP 64 ]]Code: Select all
x = 7, y = 3, rule = B3aij6i/S2-cn3-cky4i
b2ob2o$2o3b2o$b2ob2o!
[[ STEP 28 ]]Code: Select all
x = 3, y = 1, rule = B2a4i/S1e
3o!
[[ STEP 4 ]]Code: Select all
x = 5, y = 13, rule = B34c/S2-i34wy5ay6i
2bo$b3o$5o8$5o$b3o$2bo!
[[ STEP 56 ]]Code: Select all
x = 3, y = 7, rule = B2e3/S123-a
bo$3o$obo2$obo$3o$bo!
[[ STEP 14 ]]Code: Select all
x = 9, y = 9, rule = B34ew/S23
3o$3o$3o4$6b3o$6b3o$6b3o!
[[ STEP 30 ]]Code: Select all
x = 14, y = 14, rule = B3-ckq6/S2-c34ci6
2b3o$2bo2bo$2o3bo$o3b2o$o2bo$b3o3$10b3o$10bo2bo$8b2o3bo$8bo3b2o$8bo2b
o$9b3o!
[[ STEP 36 ]]Code: Select all
x = 10, y = 10, rule = B3-jq/S234i
6b3o$6bo2bo$9bo$8b2o3$2o$o$o2bo$b3o!
[[ STEP 20 ]]Code: Select all
x = 15, y = 15, rule = B34e5r68/S2-n34n5e
2bo$b3o$2ob2o$b3o$2bo6$12bo$11b3o$10b2ob2o$11b3o$12bo!
[[ STEP 52 ]]Code: Select all
x = 7, y = 7, rule = B2a3i6/S256
b2o$o$o2$6bo$6bo$4b2o!
[[ STEP 6 ]]Code: Select all
x = 4, y = 4, rule = B2a3i6/S256
b2o$o2bo$o2bo$b2o!
[[ STEP 6 ]]Code: Select all
x = 5, y = 9, rule = B34ej5y6n/S23
b3o$bo2bo$3b2o4$2o$o2bo$b3o!
[[ STEP 63 ]]Code: Select all
x = 4, y = 6, rule = B3-nq4nt5ar/S2-k34aiw
b3o$bobo$3bo$o$obo$3o!
[[ STEP 20 ]]Code: Select all
x = 2, y = 2, rule = B2a/S12k
2o$2o!
[[ STEP 4 ]]Code: Select all
x = 15, y = 15, rule = B2ci3-nqry4ikrt5akr6n/S1e23i5a
2b3o2$obobobo$o5bo$obobobo2$2b3o2$10b3o2$8bobobobo$8bo5bo$8bobobobo2$
10b3o!
[[ STEP 34 ]]Code: Select all
x = 12, y = 28, rule = B3ai4/S2-k3-a46n78
5b2o$3b6o$3bo4bo$3b6o$2bo6bo$b2o6b2o$2bob4obo$3bo4bo$bobo4bobo$b3o4b3o
$2bo6bo2$b2o6b2o$2o8b2o$2o8b2o$b2o6b2o2$2bo6bo$b3o4b3o$bobo4bobo$3bo4b
o$2bob4obo$b2o6b2o$2bo6bo$3b6o$3bo4bo$3b6o$5b2o!
[[ STEP 48 ]]Code: Select all
x = 5, y = 5, rule = B34k/S1e2-a3
3o$o$o3bo$4bo$2b3o!
[[ STEP 16 ]]Code: Select all
x = 3, y = 7, rule = B3678/S2c3467
bo$3o$obo$obo$obo$3o$bo!
[[ STEP 42 ]]Code: Select all
x = 4, y = 4, rule = B34eit5enry6ci8/S2-i36c
3o$o2bo$o2bo$b3o!
[[ STEP 36 ]]Code: Select all
x = 5, y = 33, rule = B3-enry/S23-a4-ajw
2bo$b3o$2ob2o28$2ob2o$b3o$2bo!
[[ STEP 62 ]]Code: Select all
x = 10, y = 4, rule = B2n3-n4n/S23-a4-ikry
b2o4b2o$2o6b2o$2o6b2o$b2o4b2o!
[[ STEP 44 ]]Code: Select all
x = 5, y = 5, rule = B2a/S3
2o$obo$bobo$2bobo$3b2o!
[[ STEP 6 ]]Code: Select all
x = 9, y = 9, rule = B34e5-ey7e8/S23
6b3o$6b3o$6b3o4$3o$3o$3o!
[[ STEP 36 ]]Code: Select all
x = 20, y = 20, rule = B34tw5y7e/S234k
2b3o$bo3bo$o5bo$o5bo$o5bo$bo3bo$2b3o7$15b3o$14bo3bo$13bo5bo$13bo5bo$13b
o5bo$14bo3bo$15b3o!
[[ STEP 58 ]]Code: Select all
x = 8, y = 8, rule = B2a/S3a4a
b2o$4o$4o$b2o$5b2o$4b4o$4b4o$5b2o!
[[ STEP 8 ]]Code: Select all
x = 7, y = 1, rule = B2a4i/S1e
3ob3o!
[[ STEP 8 ]]Code: Select all
x = 23, y = 9, rule = B2e3ai4c6i/S2-c3eijnr4ijz
2bo5bo5bo5bo$b3o3b3o3b3o3b3o$2ob2ob2ob2ob2ob2ob2ob2o$bo7bo3bo7bo$2o7b
2ob2o7b2o$bo7bo3bo7bo$2ob2ob2ob2ob2ob2ob2ob2o$b3o3b3o3b3o3b3o$2bo5bo5b
o5bo!
[[ STEP 40 ]]Code: Select all
x = 7, y = 7, rule = B2ce3-ai/S01
obo$3bo$o$bo3bo$6bo$3bo$4bobo!
[[ STEP 24 ]]Code: Select all
x = 15, y = 15, rule = B2a3in4it/S1e
3o$obo$3o10$12b3o$12bobo$12b3o!
[[ STEP 24 ]]Code: Select all
x = 14, y = 14, rule = B34et5ky8/S234e8
3bo$2b3o$b5o$3ob3o$b5o$2b3o$3bo$10bo$9b3o$8b5o$7b3ob3o$8b5o$9b3o$10bo
!
[[ STEP 32 ]]Code: Select all
x = 13, y = 13, rule = B34ce/S12-a3
3o$o$o3bo$4bo$2b3o4$8b3o$8bo$8bo3bo$12bo$10b3o!
[[ STEP 32 ]]Code: Select all
x = 57, y = 57, rule = B2i34w5eq7/S1e2ikn34ci
46bo$45b3o$46bo2$46bo$45bobo$45bobo$46bo2$37bo3b2o7b2o3bo$36b3obo2bo5b
o2bob3o$37bo3b2o7b2o3bo2$46bo$45bobo$45bobo$46bo2$46bo$45b3o$46bo16$10b
o$9b3o$10bo2$10bo$9bobo$9bobo$10bo2$bo3b2o7b2o3bo$3obo2bo5bo2bob3o$bo
3b2o7b2o3bo2$10bo$9bobo$9bobo$10bo2$10bo$9b3o$10bo!
[[ STEP 60 ]]Code: Select all
x = 7, y = 7, rule = B2a/S2a3n
2o$obo$b2o2$4b2o$4bobo$5b2o!
[[ STEP 8 ]]Code: Select all
x = 11, y = 11, rule = B2a/S2an3n
b2o$obo$2ob2o$2bobo$2b2o2$7b2o$6bobo$6b2ob2o$8bobo$8b2o!
[[ STEP 12 ]]Code: Select all
x = 4, y = 4, rule = B2ac3e/S1e5i
3bo$3bo$o$o!
[[ STEP 6 ]]Code: Select all
x = 20, y = 20, rule = B3-cky4e6c8/S23-e4e
6bo$4b2ob2o$4b2ob2o$4bo3bo$b3o5b3o$b2o7b2o$o11bo$b2o7bob2o$b3o5bo4b2o
$4bo3bo3bob2o$4b2obo3bo3bo$4b2o4bo5b3o$6b2obo7b2o$7bo11bo$8b2o7b2o$8b
3o5b3o$11bo3bo$11b2ob2o$11b2ob2o$13bo!
[[ STEP 40 ]]Code: Select all
x = 25, y = 7, rule = B34jy6n/S2-i3
2bo19bo$bobo17bobo$o2bo17bo2bo$o23bo$o2bo17bo2bo$bobo17bobo$2bo19bo!
[[ STEP 48 ]]Code: Select all
x = 42, y = 42, rule = B2i34ceiknry8/S23-a4city
7b3o$7bo2bo$6bo3bo$6bo3bo$7b3o$12b3o$2b2o7bo3bo$2o2bo6bo3bo$o3bo6bo2b
2o$o3bo7b2o$b3o$6b3o$5bo3bo$5bo3bo$5bo2bo$6b3o11$33b3o$33bo2bo$32bo3b
o$32bo3bo$33b3o$38b3o$28b2o7bo3bo$26b2o2bo6bo3bo$26bo3bo6bo2b2o$26bo3b
o7b2o$27b3o$32b3o$31bo3bo$31bo3bo$31bo2bo$32b3o!
[[ STEP 48 ]]Code: Select all
x = 19, y = 19, rule = B2n34eiqrtz5eijnr8/S23-a4city
3b3o$3bobo$3b3o$3o$obo$3o8$16b3o$16bobo$16b3o$13b3o$13bobo$13b3o!
[[ STEP 150 ]]Some of these replicators are made of other class-S or class-Q replicators that fail this test, but when paired with another correctly-aligned copy, pass the test for strength.
I'm only up to early 2017 in terms of searching the forums, so there's more to come...