<a href="Link_I_Need.html" class="Unique_Class_Name">link text</a>

soup = BeautifulSoup(html)
anchors = soup.find_all('a', {'class': 'Unique_Class_Name', 'href': True})

for anchor in anchors:
    print (anchor['href'])

soup = BeautifulSoup(html)

for anchor in soup.select('a.Unique_Class_Name'):
    if anchor.has_attr('href'):
        print (anchor['href'])

<a class="blueText" href="/info/046386294000000899/?s_bid=046386294000000899&s_sid=FSP-LSR-002&s_fr=V01&s_ck=C01" target="_blank">川村商店</a>

for url in url_list:
    res = requests.get('%s' % url)
    soup = bs4.BeautifulSoup(res.text, "html.parser")
    for p in soup.find_all('a', class_='blueText'):
        print(p.text)