As this was not integrated yet, here are results as of torchvision 0.12:
Torchvision 0.12.0.dev20211108+cpu
squeezenet1_1        	 1.24 million
squeezenet1_0        	 1.25 million
shufflenet_v2_x0_5   	 1.37 million
mnasnet0_5           	 2.22 million
shufflenet_v2_x1_0   	 2.28 million
mobilenet_v3_small   	 2.54 million
mnasnet0_75          	 3.17 million
shufflenet_v2_x1_5   	 3.50 million
mobilenet_v2         	 3.50 million
regnet_y_400mf       	 4.34 million
mnasnet1_0           	 4.38 million
efficientnet_b0      	 5.29 million
mobilenet_v3_large   	 5.48 million
regnet_x_400mf       	 5.50 million
mnasnet1_3           	 6.28 million
regnet_y_800mf       	 6.43 million
regnet_x_800mf       	 7.26 million
shufflenet_v2_x2_0   	 7.39 million
efficientnet_b1      	 7.79 million
densenet121          	 7.98 million
efficientnet_b2      	 9.11 million
regnet_x_1_6gf       	 9.19 million
regnet_y_1_6gf       	 11.20 million
resnet18             	 11.69 million
efficientnet_b3      	 12.23 million
googlenet            	 13.00 million
densenet169          	 14.15 million
regnet_x_3_2gf       	 15.30 million
efficientnet_b4      	 19.34 million
regnet_y_3_2gf       	 19.44 million
densenet201          	 20.01 million
resnet34             	 21.80 million
resnext50_32x4d      	 25.03 million
resnet50             	 25.56 million
inception_v3         	 27.16 million
densenet161          	 28.68 million
efficientnet_b5      	 30.39 million
regnet_y_8gf         	 39.38 million
regnet_x_8gf         	 39.57 million
efficientnet_b6      	 43.04 million
resnet101            	 44.55 million
regnet_x_16gf        	 54.28 million
resnet152            	 60.19 million
alexnet              	 61.10 million
efficientnet_b7      	 66.35 million
wide_resnet50_2      	 68.88 million
regnet_y_16gf        	 83.59 million
resnext101_32x8d     	 88.79 million
regnet_x_32gf        	 107.81 million
wide_resnet101_2     	 126.89 million
vgg11                	 132.86 million
vgg11_bn             	 132.87 million
vgg13                	 133.05 million
vgg13_bn             	 133.05 million
vgg16                	 138.36 million
vgg16_bn             	 138.37 million
vgg19                	 143.67 million
vgg19_bn             	 143.68 million
regnet_y_32gf        	 145.05 million

Updated code:
import torchvision
import torchvision.models as models
from types import FunctionType

def calculate_num_of_learned_params(model):
    return sum(param.numel() for param in model.parameters() if param.requires_grad)


def human_readable(n_params):
    if n_params >= 1e6:
        return f'{n_params/1e6 :.2f} million'
    if n_params >= 1e3:
        return f'{n_params/1e3:.2f} thousands'
    else:
        return n_params

model_sizes = {}
for model_name in dir(models):
    if model_name[0].islower():
        attr = getattr(models, model_name)
        if isinstance(attr, FunctionType):
            n_params =  calculate_num_of_learned_params(attr())
            model_sizes[model_name] = n_params

print(f"Torchvision {torchvision.__version__}")
model_sizes = sorted(model_sizes.items(), key=lambda x: x[1])
for model_name, model_size in model_sizes:
    print(model_name.ljust(20), '\t', human_readable(model_size))